(\ox car delivery which requires more time and manual labor to unload. Bagged ingredients are delivered by truck or rail. In either method, the ingredients are unloaded by hand bag truck and stored in a warehouse. Fat is delivered by heated tank truck in a liquid state and is pump- ed from the truck directly into heated storage tanks. Bulk ingredients are conveyed from the receiving sink by a series of screw conveyors to a bucket elevator. The ingredients are elevated and gravity-fed through a turnhead into pipes leading directly to storage silos or bins or to horizontal screw conveyors that convey the ingredients to bins. In the receiving system there is a cleaning shoe to remove for- eign material and magnets to remove tramp metal. Shelled corn is stored in silos located adjacent to the mill Imilding and rail siding. All other dry bulk ingredients are stored in a cluster of bins located in the mill building above the first floor. The capacity of the silos and bins is sufficient for ten days of mill operation at its designed capacity. -* W. F, Henry and C. R. Burbee, Marketing New England Poultry: 5. Effects of Firm Size and Production Density on Broiler Assembly Costs, University of New Hampshire Agricultural Experiment Station Bulletin 482, April 1964. Figure 1. Schematic Flow of Ingredients from Receiving to Finished Mixed Feed Bulk CI eon Bins T X Grind Bins Bag Wrh's'e ngredients Bag Pockage Worehouse 3 M Dress Pellet Cool Crumble LJ Fat Applicdiion Liquid Tank Bulk Bins Finished Feed 2. Grinding — Shelled corn and alfalfa pellets must be ground be- fore being mixed with other ingredients. They are moved by screw con- veyor or gravity to the feeders on the hammermills which are used in the model mills. The ground ingredients are then elevated into bins by a pneumatic system. 3. Mixing — The mixing stage consists of the following sequence of steps : moving ingredients to the mixing center, weighing, mixing, con- ditioning and conveying the batch to the next stage. A number of tech- niques exist for performing each step. Bulk ingredients are moved from bins to the mixer by "weigh bug- gies'' or conveyors. Weigh buggies are used in conjunction with vertical mixers in small size mills. The ingredients are weighed into the buggy and pushed to and dumped into the mixer sink. The movement of bulk ingredients by conveyors is the practice in the large size mills since large quantities nuist be moved in short periods of time to keep mixers operating at capacity. Feeder screws move ingre- dients into a weigh hopper over the mixer. The quantities of the differ- ent ingredients fed into the hopper are controlled from a central panel either by an operator or by automatic devices. The bagged ingredients are brought from the warehouse periodic- allv. For each batch the bags are opened, weighed, and dumped into the mixer. Fat is pumped directly into the mixer, the amount being controll- ed manually or automatically. However, if the batch is to be pelleted, the full amount is not generally added at this stage, since a high propor- tion of fat in the mix makes pelleting extremely difficult. A batch is mixed for a predetermined length of time to oljtain a thorough blend of ingredients. The specific time required depends on the formulation and characteristics of the mixer. Generally, the mixino; time is between eight and ten minutes in a vertical mixer and three and five minutes in a horizontal. The time is controlled manually or by an automatic timing device. The mixed batch is moved from the vertical mixer by conveyor to a bucket elevator. Batches mixed in a horizontal mixer are dumped into a surge bin from which they are moved by conveyor to a bucket elevator. The use of a surge bin results in a substantial increase in mixer capacity. The mixed batch is elevated and passed through a conditioner to remove any foreign material and to break up lumps. The conditioned batch is moved by self-cleaning chain drag conveyors to the finished mash bins or to holding bins for pelleting. 4. Pelleting or Crumbling — This stage consists of several different series of steps depending on the desired finished form of the feed and the formulation. These steps include pelleting, crumbling, and fat appli- cation. The pelleting stage starts with mash being fed into the pellet mill where it is conditioned by steam and forced through the pellet die. The continuous flow of hot pellets is gravity fed into a vertical cooler, and then conveyed directly to the grading shoe. If the desired output is crumbles, the cooled pellets are fed into a crumbier and then conveyed to the grading shoe. Fines and oversizes are screened off on the shoe and conveyed back to the pellet mill. Formulations in pellet or crumble form that require additional fat are routed through a fat applicator 10 where the fat is sprayed on. The finished pellets and crumhles are then conveyed to the holding bins. 5. Storing Finished Feed — The finished feeds are elevated to holding bins adjacent to the mill from which they are loaded into bulk trucks. Each model mill has storage capacity for one day's output of each formulation. Special orders may be bagged. For this purpose, a small bagging scale and portable sewing head are included in each mill. Also, any of the ingredients in the bins may be drawn off and bagged individually. Labor Inputs and Costs The labor force consists of production workers who perform the sev- eral manufacturing processes and maintenance and repair personnel who are responsible for periodic maintenance and repairs on the equip- ment and other mill facilities. The man-equivalent estimates given in- clude sufficient time for personal needs as well as limited housekeeping in the respective work areas. 1. Receiving — The labor input for receiving a given quantity of ingredients depends on a number of variables such as receiving tech- nology, the form of the ingredients, the flowability of bulk ingredients, the inbound transportation and means of delivery. It is assumed that each mill purchases as many of the ingredients and as large a portion of its requirements in bulk as is possible within the limits of its storage capacity and the established minima required for bulk shipment. In addition, dry bulk ingredients shipped by rail are received iri hopper cars if the model mill can regularly order amounts equal to or greater than the carload minimum. Other bulk ingredients are received in box- cars. The percentage of ingredients received, their form, and mode of transportation — including kind of car for rail movements — is given in Table 2. Table 2. Form Specifications and Mode of Transportation for Ingredients Receipts of Eight Model Feed Mills Mills Mode and Form A A' B B' C D E F 5,434* 10,868 16,302 21,739 32,609 45,287 67,933 90,577 (percentage d listribut ion) Rail: Hopper car — Bulk 78.5 78.5 78.5 88.8 88.8 88.8 88.8 88.8 Boxcar — Bulk 10.3 10.3 Boxcar — Bagged 10.2 .3 .3 .3 Truck: Bulk 8.3 8.3 8.3 8.3 8.3 8.3 8.3 8.3 Bagged 3.0 2.9 2.9 2.9 2.9 2.6 2.6 2.6 Total 100.0 100.0 100.0 100.0 100.0 100.0 100.0 100.0 * Figures across are the tons manufactured annually. 11 Each mill is equipped with one or more bulk receiving systems rated at 2,000 bushel-per-hour. Hopper cars are unloaded at two differ- ent rates depending on the weight per cubic foot of the ingredients and flowability. The rate for corn and pellets is 60 tons per hour and for the soft or lighter ingredients 42 tons per hour. Boxcars are unloaded with a power shovel, also at two different rates: corn and pellets at 42 tons per hour and soft goods at 15 tons per hour. Bagged ingredients are unload- ed from l)Oxcars or trucks at a rate of six tons per man-hour. The receiving crew sets the gates and controls but does not unload l)ulk ingredients, dry or liquid, when delivered by truck. The truck driver performs the unloading. In addition to their unloading function, the receiving labor must position and open cars and clean them out after they are emptied. The crew must also clean up around the receiving sink. In the three larger mills which are equipped with automatic control devices for mixing, the receiving crew must move and dump bagged ingredients into small over- head working bins. The labor requirements for receiving, reduced to a man-equivalent basis, vary from 0.2 in Mill A to 2.1 in Mill F. and are given in Talile 3. Table 3. Daily Labor Requirements and Labor Productivity for Production. Maintenance and Repair of Eight Model Feed Mills* Mills Operation A A' B B' C D E F 20.9** 41.8 62.7 83.6 125.4 174.2 261.3 348.4 (man-equivalenti 5) Labor Requirements Production Receiving .2 .3 .4 .4 .6 1.2 1.6 2.1 Grinding .2 .1 .1 Mixing 1.0 2.0 2.6 2.0 2.0 1.0 1.0 1.0 Pelleting and Crumbling .4 .6 1.0 1.0 1.0 1.0 1.0 1.0 Miscellaneous .5 .t .9 .6 .8 .6 .i .9 Production Total 2.3 3.7 5.0 4.0 4.4 3.8 4.3 5.0 Maintenance and Repair Total .3 .5 .7 .9 1.0 1.2 1.5 2.0 Total Labor Requirements 2.6 4.2 5.7 4.9 5.4 5.0 5.8 7.0 (tons per 1 man-hour) Labor Productivitv Production Labor 1.1 1.4 1.6 2.6 3.6 5.7 7.6 8.7 Maintenance and Repair Labor 7.9 10.5 11.7 12.3 15.7 18.1 21.8 21.8 Combined 1.0 1.2 1.4 2.2 2.9 4.4 5.6 6.2 (mar i-hours ; per ton) Combined 1.00 .80 .72 .46 .34 .23 .18 .16 * Per eight hour day. ** Figures across are tons manufactured daily- 12 2. Grinding — Generally, very little labor is needed for the grind- ing of ingredients, except to set the proper conveyors and gates, adjust the feeder control, change a screen, and clean the magnets occasionally. Corn and alfalfa pellets, the two ingredients that require grinding before mixing, are in bulk form in all the model mills except A where alfalfa pellets are in bags. In this mill the operator must move, open, and dump the bagged pellets into a sink located above the hammermill. A vi?ual check of the grinding equipment when operating is requir- ed only in Mills A, A' and B. The other mills have remote indicating devices to eliminate the periodic checks at the machines so no labor requirements are shown in Table 3 for them. Responsibility for per- forming this operation is generally given to the receiving or mixing stage personnel. 3. Mixing — The labor requirements for mixing depend upon the kind of mixer, materials-handling equipment, and the degree of auto- mation used to control the process. Three equipment combinations are considered: (1) the vertical mixer with weigh buggies for weighing and moving bulk ingredients, (2) the horizontal mixer with feeder screws, weigh hopper, surge bin, and semi-automatic controls, and (3) the same equipment combination as (2) but with automatic controls. The first equipment combination requires a substantial amount of labor since the ingredients are handled manually. Buggies are loaded with the required amount of each bulk ingredient, moved, and dumped into the empty vertical mixer. Bagged ingredients are moved from the warehouse, opened, weighed out, and dumped into the mixer sink. As the batch is mixed, the buggies are reloaded. The mixer operator adds any pre-mixes and controls the mix time. This equipment combination is used in model Mills A, A' and B and the man-equivalents vary from 1.0 to 2.6. The second equipment combination requires a two-man crew. The mixer operator controls the conveyors moving ingredients to the weigh hopper, the weighing, mix time, and the gates in the weigh hopper and mixer from a control panel. An assistant weighs out and adds bagged in- gredients to each batch and performs other minor tasks such as cleaning up around the mixer sink. This equipment combination is utilized in model Mills B' and C. The third equipment combination is almost completely automated. The material handling, weighing, mix time, operation of gates, and num- ber of batches are automatically controlled. The mixer operator sets the proper controls for each formulation run, adds premixes, and oversees the operation. With a motor control panel for operating equipment in other manufacturing stages, the mixer operator coordinates the manufac- turing stages in the mill. This type of system is used in Mills D, E, and F. The automatic system has two characteristics not found in the other systems : (1) only one operator is required over a relatively wide range of mixer capacities, and (2) all batches of a given formulation are prac- tically identical because possibilities of human error are largely elimin- ated. 4. Pelleting and Crumbling — The labor requirements for the pelleting stage are essentially those needed for overseeing the operation. 13 The operator sets up the various pieces of equipment in the stage for each run and clears the system at the end of the run. During the run, the operator makes certain that there is sufficient steam pressure to condition the mash and that the pellet mill motors are operating at or close to their rated capacity. Occasionally, a plug-up occurs in a pellet mill which the operator must clear. Frequent checks of the finished pellets and crumbles are made to assure proper hardness and size, since the oversizes and fines must be recycled through the pellet mill. Excessive recycling can reduce the finished feed output per unit of time. Table 3 gives the man-equivalents required for this stage which in- crease from 0.4 for Mill A, to 1.0 for Mills B through F. 5. Miscellaneous — There are a number of minor needs for labor in a mill. These include such jobs as bin supervision, housekeeping chores not performed by the other personnel, running errands, and fill- ing in for other personnel that are absent. Man-equivalents needed for these activities are given in Table 3. 6. Total Labor Inputs — Table 3 gives the total man-equivalents for production labor and they range from 2.3 for Mill A to 5.0 for Mill F. However, the number of man-equivalents for production labor does not increase continuously with mill size and output because of major changes in manufacturing technology. In Mills A, A' and B with their large labor input in the mixing stage, the total man-equivalents increase from 2.3 to 5.0. Mills B' and C have fewer man-equivalents than B, 4.0 and 4.4, and the man-equivalents for Mills D, E, and F vary from 3.8 to 5.0. Labor productivity in production increases continuously over the range in mill sizes from 1.1 to 8.7 tons per man-hour.^ Man-equivalents for maintenance and repair, shown in Table 3. vary from 0.3 for Mill A to 2.0 for Mill F. The total man-equivalents for production and maintenance increase from 2.6 for Mill A to 7.0 for Mill F. Productivity increases from 1.0 ton per man-hour to 6.2 for Mill F. 7. Total Labor Costs — Wages for production and maintenance labor vary considerably in New England. The wage rate adopted for pro- duction labor is $1.85 an hour plus 37 cents an hour in fringe benefits. Maintenance personnel receive a base wage of $2.00 an hour plus 40 cents an hour in fringe benefits. Table 4 gives the annual dollar cost and the average labor cost per ton. As mill size and output are increased, the average cost per ton falls rapidly from Mill A through Mill D. Over the range of sizes considered, average cost for labor decreases from $2.26 to $.36 a ton. Decreases in production labor costs account for the greater share of the cost reduc- tion. The average production labor cost decreases from $1.96 to $.26 a ton while the average maintenance labor cost decreases from S,30 to $.11 a ton. 5 Mills generally measure productivity in terms of man-hours per ton. For produc- tion labor, man-hours per ton decrease from 0.93 for Mill A to 0.11 for Mill F. 14 Table 4. Annual Production and Maintenance Labor Costs for Eight Model Feed Mills Output Production Maintenance Total Mill per Year Annual Per Ton Annual Per Ton Annual Per Ton 1 tons) (dolli its) A 5,434 10,621 1.96 1,648 .30 12,269 2.26 A' 10.868 17,085 1.57 2,496 .23 19,581 1.80 B 16,302 23,088 1.42 3,344 .20 26,432 1.62 B' 21,739 18,470 .85 4,243 .20 22,713 1.04 C 32,609 20,316 .62 4,992 .15 25,308 .78 D 45,287 17,389 .38 5,715 .13 23,104 .51 E 67.933 19,856 .29 7,488 .11 27,344 .40 F 90.577 23,088 .26 9,984 .11 33,072 .36 Investment and Costs for Feed Manufacturing Facilities Feed mill investment is the initial dollar purchase price of the dur- able inputs plus their installation costs. The durable inputs include such items as equipment, buildings and land. 1. Equipment — The kind, type and number of equipment items required for the model mills are synthesized from input-output relation- ships and manufacturer's equipment specifications.^ Each mill has only the manufacturing equipment capacity to produce the five formulations in the specified forms and quantities within an eight-hour day, Equipment is divided into seven categories, four of which are con- cerned with the primary manufacturing stages. The equipment cost pre- sented in Table 5 is the delivered price with the equipment ready for installation. The total installation cost for each model is given in the second part of the table. Equipment for receiving ingredients consists primarily of screw con- veyors and bucket elevators for conveying ingredients from receiving points to storage bins in the mill. Mills A through D have a single bulk receiving system, and Mills E and F have two bvilk receiving systems. Grinding equipment includes screw conveyors to move shelled corn to the hammermills, and pneumatic conveyors for moving the ground materials into working bins. The mixing equipment consists of conveyors, weigh buggies or hop- pers, mixers, conditioners, and weighing and mixing control devices. A substantial change in this equipment is required with the shift from ver- tical mixers and weigh buggies in Mill B to mechanized conveyors, hor- izontal mixers, and simple weighing controls in Mill B'. The pelleting and fat application stage requires the largest pur- chase price for equipment. This stage includes pellet mills, vertical cool- ers, crumblers, graders, fat application equipment, and conveyors. This stage accounts for approximately 45 percent of the total purchase price of equipment for each mill. 6 See Appendix C for list of major equipment items for each model mill. 15 o 0\ CO •0 V V ■0 o V s s .& '3 s Ifl a H s a CO V > a n t— CO in On O pi en OS CO pa f^ CO in s V l-H O ^ CO VO VO VO CO CO ^ CO to CO eo Tj" irt ov OS m m r^ o irt t-H (M CO 1— 1 eo CO m -* SO #>*>*> a^ •^ *> «^ r> #> rt r— e* 00 VO t^ lO O OS •^ CO ^ *• B* r- #« *^ •• o i» SO e^ esi <— I 1-H 1— I c^ ■^ CO I— I CSI LO 00 e^ esi r- o so so i-H O Os CO CO CO CO o CO » esj esq CO «v r> «s r- cs «« ^ O I— I lO csi O I— I rji 1—1 1—1 CO »0 1— I I— t CO CO I— I On r— I I— I esq t- o *• *« »« O CO •># CO CO I— I es) 1— ( T}< M I— I CO CO CO I— I M lO CO Os o so' so OS >0 (M Os OS esi ■*. so' o '9 a u S Tf o _"5 ■^ e* On o Tj< ■^ LO t^ in lO CO •» r- ^ *« »• c •»# t- o t^ NO esq I— ( esi O 1— I ■^ OS o o cc 1— I ■* CO NO ^ »* lO 1— I CO O OS CO tS< lO r« »« »s «s »s fs rf CO CO lo esi csi s _o ^^ CD 1—1 a c < 4^ CS s cs ^ lO lO CO I— I ■^ so *" i-Tno ^ t^ 1— I 1—1 es) CO so -^ O ■>* lO Os_ I— I C> 0~ NO t-^ CO uo CO \n esj t— to CO CO CO NO NO o so so CO On CO O CO CO 1—1 CO cT xnin t^ so es] OS « 3 ft CB o o s c ^ s c c HH f H^ bC a a S s a u o OD CO V a o C a o u a o u bl o O « E -3 CO ^ b£ " e a .5 .i: s w o s u .s ° o bC V *J cs ll V j: o o 4-1 V f^ CO S B 03 bC B <» B w T= 2 2 B si « .5 S bC E B O CO B CO u 'b CO s b£ 3 S-B^ B •= o .5 CO C, fc- a ~ o T n V w ^ CO U> FS <4-l o ~ S - ^'12 « a E-SS CO .M £ a -'E tn S o o s a" I- o '5 B CO B c o „ " oj •;; OJ 1— t bcJ2 «-s B tS a «^ * * 'S£ * to 16 Boiler sizes for the model mills are based on estimated steam re- quirements, most of which are for pelleting, and vary from 20 h.p. for Mill A to 300 h.p. for Mill F. Miscellaneous equipment includes items not assignable to any of the other categories, such as fat pumping and straining equipment, fat tanks, air compressors, remote motor control equipment, indicators for bins, and so on. The investment in equipment includes not only the purchase price, but the installation charges for placing the equipment in operational status. These charges include costs for wiring, mechanical installation, and plumbing of fat, steam, and air lines throughout the mill. Installa- tion costs are equivalent to between 40 and 50 percent of the equipment purchase price. The total investment for equipment — purchase price plus installa- tion — varies from $52,627 for Mill A to $508,456 for Mill F. Total in- vestment, however, does not increase in proportion to increases in capa- city. Investment per ton of annual capacity decreases from $9.68 for Mill A to $5.61 for MiU F. 2. Mill Building — A number of variables determine the construc- tion cost of buildings. The major ones are: location with reference to transportation, topography and soil conditions of the site, type and size of building constructed, building materials used, and building code re- quirements. All model mills are assumed to be located on level sites in close proximity to a railroad and highway, with soil conditions satis- factory to support buildings with concrete footings, thus eliminating the need and expense of piling. All buildings are constructed with a steel frame and metal sheathing with no consideration given for future ex- pansion. The mill building is high in relation to its width and length. This type of construction permits use of gravity as much as possible to move materials. Much of the cubic volume of the mill building above the first floor consists of working bins for storage of ingredients. The basement of each mill contains the receiving cleaning shoe, hammermills, fat tanks and pumps. In Mills B' through F, the horizontal mixers, surge bins, vertical pellet coolers, and necessary conveyors are also located in the basement. The first floor area holds various kinds of equipment depending on the size of the mill, technology adopted, and physical layout. For Mill A the vertical mixer, a unit that contains the pellet mill, cooler, crumb- ilizer, and grading shoe, and the fat application equipment are located on the first floor. In Mills A' and B, only the vertical mixers, pellet coolers, and fat application equipment are located on the first floor. The first floor in Mills B' through F holds the weighing and proportioning equipment, control centers, and pellet mills. The upper floors of each mill are constructed next to the ingredient holding bin cluster. On these floors are located the mash feed condition- ers for all mills, the pellet mills for Mills A' and B, the crumbilizers and grading shoes for Mills A' through F, and the fat application equipment for Mills B' through F. Also on these floors are the bins for holding mash feed for pelleting and for holding pellets or crumbles for fat appli- cation. 17 The investment for the mill buildings complete with bins and fix- tures installed ranges from $27,083 for Mill A to $272,091 for Mill F as shown in Table 6. 3. Warehouse — Each mill has a warehouse adjoining the mill building and adjacent to rail siding for receiving and storing bagged in- gredients. Warehouses have a capacity equivalent to a ten-day require- ment for bagged ingredients. Such buildings are steel framed with metal sheathing, constructed on a concrete pad. A cost rate of $6.00 per square foot was used to estimate the warehouse investment for each model mill. 4. Office — Each mill has office space for its administrative per- sonnel and staff. The space required for each model is primarily a func- tion of the number of personnel. Square footage requirements were es- timated and a cost rate of $10.00 per square foot was used to determine the investment. 5. Boiler House — Substantial quantities of steam are required in feed manufacturing for making pellets, heating fat, and heating various sections of the mill. Each mill has one boiler to supply steam, and the boiler is located in a boiler house near the mill. The size of the ])oiler house is based on the dimensions of the boiler. A cost rate of $12.00 per square foot was used and includes building construction, accessories, and the stack. 6. Grain Storage — Each mill has capacity to store a ten-day re- quirement of shelled corn. The storage facilities range in capacity from 4,400 bushels to74,000 bushels, and consist of two or more round bolted steel tanks located next to the mill building and siding. The investment includes the tanks, fabricated steel supports, concrete pad and footings, ladders, walkways, and erection labor costs. 7. Rail Siding — Each mill requires a rail siding to spot and hold loaded cars of ingredients and empty cars waiting to be picked up. Since the railroads in New England generally do not provide private sidings at their expense, the cost is borne by the firm reqiiiring the siding. The linear feet of siding was derived by estimating the likely maximum num- ber of cars to be on track daily and assumed only one switch per day by the railroad. Mills A through D have a one-track siding while Mills E and F have a two-track siding. A rate of $11.00 per linear foot of track was used to derive the siding cost. 8. Finished Feed Holding — Each mill has a finished feed holding capacity equivalent to the daily output of each formulation in bulk form. This facility consists of square bolted steel bins erected on a steel frame over a weighing unit and is located next to the mill Imilding. The invest- ment for finished feed storage includes the cost of the bins, fabricated steel, erection, concrete supports, and the weighing unit. A platform motor truck scale to weigh the feed is used for Mills A through C. while a traveling weigh hopper over the trucks is used in Mills D, E, and F. 9. Land — Acreage requirements for the several mills were deter- mined from physical layout drawings. The land requirement ranges from 18 .69 acres for Mill A to 2.68 acres for Mill F. Land was assigned a cost of $5,000 an acre. 10. Total Investment — Total investment for the mill sizes con- sidered varies from $105,718 for Mill A to $923,397 for Mill F and are shown in Table 6. Approximately half of the investment is for equip- ment, and another quarter of it is for the mill building. The other cate- gories account for the remaining quarter of the total investment. The investment per ton of annual capacity decreases discontinuous- ly over the range of mill sizes considered from a high of $19.46 for Mill A to a low of $10.20 for Mill F. A discontinuity occurs at Mill B' where substantial changes in manufacturing technology are incorporated. Ownership Costs The initial cost of the durable input is spread over its productive life as depreciation. In addition, there are several other costs such as in- surance, taxes, maintenance, and interest on investment. In the short run. these costs are fixed, since they do not vary with output. The level of ownership costs for each firm and each item is given in Table 7. 1. Depreciation — Depreciation is the cost of time, wear, and obsolescence. Rates for determining annual depreciation costs for the model firms were developed from information provided by mills and equipment manufacturers. Obsolescence appeared to be the primary consideration in the es- tablishment of the equipment depreciation rate. Firms indicated that 15 years is the maximum period for depreciating equipment, and most were using a shorter time period. All equipment for the model mills is depre- ciated by the straight-line method over a ten-year period, except the lioiler which is depreciated over a 15-year period. Firms indicated that mill buildings and other facilities are being de- preciated over a longer time period. These facilities have not been ren- dered obsolete by the numerous technological developments in feed manufacturing equipment, and firms apparently do not expect obsoles- cence to become an important factor. For the model mills, all buildings, the grain storage, rail siding, and finished feed storage are depreciated by the straight-line method over a 25-year period. 2. Interest on Investment — A rate of six percent on the undepre- ciated balance or three percent on the initial investment in equipment, buildings, and other facilities was used to determine the annual cost for interest. In addition, a rate of six percent was used on the nondepreciat- ing land investment. 3. Taxes — Property taxes vary considerably between communities as well as between states. In some New England states taxes may be levied on all property, while in others equipment may be exempted. Fur- thermore, communities in most states are allowed to establish the per- centage of total value to be assessed. The method of establishing the annual tax cost for the model mills was to apply a charge of $5.00 per hundred dollars on 50 percent of the 19 c V •V 0 X in h O St o s s 01 60 s s M .2* '3 IS" fa o en 0 H H CO (TO, CS lO MS O O - o" CS! fo 1— 1 CO c^ C3 O n oa PQ CO OS < ^ •Or- lOO-rJ-fOO ON-* lOONOOvOlrtC-l ■rJ'^O ■'J'OMVOIMC^UO >OfO coe-)Oir5soe~)rfi c-jrH O t— pH m I— I Tj- r— I CO CO (M CN 1— 1 rt O O O CO o t— CO Lrt 1— 1 ON O O M O CO t^ On CO >o O O (M O irt rt CO CO «^ O C T- «^ •^ CO CO -* IC O 1— 1 '* oT F— I I— 1 f— 1 CSl -^ 1—1 CO m l-H COO^CjOCOO t— CO r— ILOVOOCOO-* On* voOLOcNieNieNico i— i-* (rqr— CN)i— 11— ivoco coco in (M CO CnJ 1—1 NO t— ■*. in ON o 1—1 S '3 =3 wS^ 3 O v 5 5fi « 13 ^^ CO bC OJ °P o H .^-^-c. _ O U, C3 .5 B3 ocaoKfcH J §1 ^" £ '^ to -^J > t8 s c e CS 4) ca s c ca s s o CS bO 20 o OS H Q n in 0\ pa (M O CO V SO in ■»# CO fO lO lO o CO ■^ -^ CO r~- e>1 C^ I— J^ 0_ 0_ On^ i-H_ Oi VO CO CO CO 0^ in 1— ( iM e fv ^ ^ ^ o CO e^ CO t^ t— ■»j< f—< esi I— I o r^ ^ eo CO f— 1 CO CO :}< VO in esi cq o l-H r— 1 CO •^ 00 CSI t~- in CO •^ o CO o r- o CO o o 1—1 in VO •s #s «\ r- ^ «s CO CO in ■<* i-H I— I OS VO in CO o CO so CO t— ■>* OS evj i-j^ Ov^ e~|_ VO OS o^ in rH CO (M I— I VO <—t TO C^ esi VO CO CO o c- 133 (^ ns S s C "^ .2 V tti eciat uipra ildin *-< CO i c s u g-wca o H^S o H u o nj S S S C5 ns V u S u 03 s s S o V l-r 03 o u 03 S 21 total mill investment. It is assumed that any county taxes incurred are included in the above rate. 4. Insurance — A number of factors affect the insurance rate for a feed manufacturing plant. Those having to do with the plant itself include building materials, type of electrical motors and type and quan- tity of installed fire prevention equipment. The location of the mill in relation to the location of the housing of the community's fire fighting equipment, and the quality and quantity of fire protection services pro- vided by the community also affects the rate. A rate of $1.00 per $100 of investment in buildings, equipment, and all facilities except the rail siding was used to estimate the annual cost of insurance. The same rate was also used to determine the insurance cost on the average quantity of ingredients being stored by the model mills. 5. Maintenance — Maintenance is a fixed cost for keeping Iniild- ings, equipment, and facilities in operating condition. An assigned rate of one percent of the initial investment was used to derive the annual maintenance costs. 6. Total Ownership Costs — The ownership cost per ton of annual capacity decreases from a high of $2.78 for Mill A to a low of SI. 50 for Mill F. The cost per ton decreases with increasing size except at Mill B' where a major change in manufacturing technology is incorporated. Administrative and Supervisory Personnel Costs A number of administrative functions must be performed in a feed mill including management, ingredient purchasing, nutrition and formu- lation analysis and quality control, typing, bookkeeping, and supervision of personnel. Requirements for these functions were derived from data provided by mills. The man-equivalents required for each function in the model mills are given in Table 8. Table 8. Personnel Requii rements i per Day f< >r Various Managerial Functi ions for Eight Model Feed Mills (Man -Equiva lent Basis) Mills Personnel A A' B B' C D E F 20.9* 41.8 62.7 83.6 125.4 174.2 261.3 348.4 Manager .20 .35 .45 .55 .80 1.00 1.00 1.00 Assistant Manager .35 .60 Formulation, Analysis and Quality Control .10 .15 .15 .20 .25 .30 .35 .40 Foreman .30 .45 .60 .70 1.00 1.00 1.00 1.00 Assistant Foreman .20 .65 1.00 Bookkeeper .15 .25 .35 .45 .65 .85 1.20 1.60 Tvpist-Records .25 .40 .55 .70 .95 1.20 1.65 2.00 Steno-Bookkeeper .10 .15 .15 .20 .25 .30 .35 .40 Figures across are tons manufactured daily. 22 The annual cost increases from $7,800 for Mill A to $54,300 for Mill F. On a per ton basis, the cost decreases from a high of $1.44 for Mill A to $6.00 for Mill F. The administrative personnel costs are summarized in Table 9. Utility Costs Utility cost tiems include electricity, water, and fuel. The use data and cost information were obtained from mills, engineering estimates and secondary sources. Costs are shown in Table 10. 1. Electricity — Electricity costs for the model mills are deter- mined by estimating the kilowatt hours consumed per day and applying a cost per kilowatt hour. Kilowatt hours are derived by determining the number of horsepower hours per day times a conversion factor of 0.746. Motors under 100 horsepower are further adjusted by a factor of 0.85 because of reduced efficiency in smaller horsepower motors. Pellet mill motors are treated differently since the above method did not pro- vide satisfactory solutions in comparison to available data. These motors consume 70.4 kilowatt hours per machine-hour for each 100 horsepower of rating. Observed mills in New England paid between 2.8 and 3.0 cents a kilowatt hour. A rate of 2.8 cents per KWH was adopted for the model mills. On a per ton basis, the cost decreases over the range of mill sizes considered from 60.3 cents for Mill A to 49.6 cents for Mill F. 2. Water — Water requirements for the model mills are based on boiler and employee consumption. An average of 34.5 pounds of water is used for each boiler horsepower-hour and 100 gallons per day per employee. Water consumption varies from 29,500 cubic feet per year for Mill A to 341,000 cubic feet for Mill F. The cost, based on a local rate^, de- creases from 1.42 cents per ton of feed for Mill A to 0.67 cents for Mill F. 3. Fuel — Fuel requirements for the model mills are based on steam usage for heating certain areas of the mills, the fat, and for pellet- ing. Fuel consumption for heating space and fat is estimated at from 7.7 to 80.7 gallons per day depending on the mill size. Pelleting requires 1.86 gallons of fuel for each ton of feed pelleted. Total fuel consumption varies from 41.5 to 644.8 gallons per day for the range of mill sizes con- sidered. Each mill has a fuel storage capacity equivalent to approximately the requirements of ten operating days. On this basis, only Mills D, E, and F are able to receive truck-load quantities of fuel. All mills use No. 5 fuel oil which is purchased locally. Mills pur- chasing less than truckload quantities are assumed to pay 10 cents per gallon while other mills receive a truckload quantity discount of one cent per gallon. On a per ton basis, the cost decreases moderately over the range of mill sizes considered from 20 cents a ton for Mill A to 17 cents a ton for Mill F. 7 $30.60 first 10,000 cu. ft. plus 17c/100 cu. ft. for all additional, semiannually. 23 V o JS 2 n O 58 In m O CO o o o o o o o o o o o o o o o o o o o o \o o o •^ o ec CC t— ^ O t~- >— I O O O O irt LO in o o o r- r~- i-H^ O^ On, 00 t-_^ Irt fc'r— CO t~- Lra rl o re O V© co lii" o o ITS O O O 1/5 » o in t-- co o o : in o = O o o esi in o in 1—1 M ON : ON T* On CO ON <; CO * in in CNl V© o o : m in in O in «■ ; t- c* t^ in CO fC CNI : CN) On VO C ON en_ o o in o o in in CO 1— I in O in (M O t~- \C ■* NO in in •—<^ CnJ r-I S 3 S S S c c c S c c = " cs ca w g O O <= § o o O '-^LO in in ^ NO en -* *^«^ ^ «^ •^ ft4M «rtM S— I ® o o c iJ « « X) tS 4-> 4irf *rf « M a s >^ >i >. >> i; t- u u ^ n s n ^ cTi en X o ^ m in o o c> o : r- t— in o ■«* On --H : ON CO ■«*' «, ■^. u S S o X h U * * 6E 5 03 c O o Ui *^ B O S.2.5 ca c s ® 24 c ++ 2 -1— « S -)- a •J o a = «j o >. *i :b O H o H cs C B n n3 V u 3 cs ^ S>- £ 3 3 2 c c S CB So. >N >. CB CB 3 3 C B C B CB CB CB B O o •-I in X •^ N— r^ CB ^^ ^> . S ® o fc 2 « ~ CB 00^ ON^r- CB CB 2i ^>^ •- ~ 1; ' o o V V CB CB >. >, u u CB CB CB S rs to h U V 0 3 es .9 3 ^-5 J} H O 0\ CO w SI CO P3 vO VC cc "* o oo ■<# I— I •^ CTi OS t-- 00 l-H ^^ ^^ CO in r— I fO 1—1 •—ie. S *J F-^ < c l.o o H ■^ 0^ 5J S 71 J3 (U 03 ^ 4-) b W^fa O V H 0^ ca S C C « V u S u es S S B O O 03 S 6C 25 Other Costs In addition to costs for labor, ownership, administration, supervi- sion and utilities, there is a set of other costs. These are discussed Jjelow and their levels on an annual and per ton basis are shown in Tal)le 11. 1. Equipment Repair and Service Costs ■ — Equipment repairs and services are the cost of replacement parts for equipment that has failed because of wear, and services hired by the mill to make certain repairs. Examples are the purchase of pellet mill dies and rolls, hammermill hammers, and the ribbon for a mixer. Services hired by a mill may be for rewinding a burned-out motor or making other repairs that mill personnel are not qualified to make. Equipment repairs and services are a variable cost since they are a result of wear or use. Data for deriving an estimate of this cost for the model mills were obtained from the observed mills accounting records. Figure 2 shows the relationship used to estimate repair and service costs. The relationship is between the percent of new equipment invest- ment and the percent of capacity under which the mill is operated. At 100 percent of capacity, the annual repair cost is equivalent to 6.5 per- cent of the equipment investment. Figure 2. Relationship between Percent of Mill Capacity Utilized and Percent of New Equipment Investment for Estimating the Annual Variable Equipment Repair Cost 0 25 Percent 50 75 of mill capacity utilized 26 ■s V V ■Kl ^^ 0) "V 0 /~\ s 0 *rt H X bt J*' U Pn b -B 0 ^ «M C8 '/) ^^ (ID 0 S ;j M J3 S CD C CO V o s o V ra en S O s b c W 0 ft S H K.S ^ r. CU F « ScTj Uns CO a c P ■3 " C C 'Si c © H V p B S C o CO S c s B O H CO s s E a o H Oh cs S B B < t~-r-t— t— t— t~-r-r- O^H,— (^-e «~ r- 1— I e*0\VC'^r— lONCOt-- fO 00 l~- C^ r— I \0 CO O O rH Tf o O r- r- irt vo I— I c4 o 0\ I— I O O 0^ 00 t— c>j 1— I r- Tj" o O I— ( CC C^ vO 00 OO VO so p-l CO re o\ e» t— in o o i-H (M CO »0 OS •.# i-H i-H e^ esi so in o fc e4 1-4 en t-' .2 s "O o^c^ en ^ M t^ 0\ en 00 VO O O r-i a •>* 00 Tfi ■^ O r-; "ef en •»#' esJ l-H 45- * O S '- 03 ^ W s s S V 9 Bl /t! ;^^ a. « .sat- g- S.S >-3 o *> b V a s w .t:.r ffl ft ass in OS in in ■^ 00 * * (A o .2 O fa O O O a « -B S ** .^ t. >» 0 cs t; s cs (^ 00 a ^ w r„ Sac « C (o O V --a " c ® S I- s cs u lo 3 « 60 3 * * « 29 Economies of Size Two major cost relationships are of concern to feed mill manage- ment: one has to do with the relationship of the size of the mill to average cost of manufacturing, the other with the relationship of short- run changes in output to average costs. The first type, often called long- run average cost, is represented by the solid line in Figure 3. That line and Table 12 show that as the size of the mill increases, the average cost per ton at 100 percent of capacity decreases from $8.59 for Mill A to $4.01 for MiU F. Three categories account for 87 percent of the economies. Labor is the most important and accounts for 41 percent of the total economies of size. The ownership and administrative personnel costs are the second and third major source of economies. Ownership accounts for 28 percent and administrative for 18 percent of the total economies. Three other categories, utilities, equipment repairs and services, and miscellaneous, account for the remaining 13 percent of the economies. Examination of Figure 3 indicates that further economies of size might exist for larger size operations than considered here. The size curve has not become parellel with the output axis since each successive- ly larger mill model has a lower average cost per ton when operated at its designed capacity. Further economies may be possible with equip- ment possessing greater capacity and by using other technologies. Figure 3. Short-Run Cost Curves and Economies of Size Curve for Eight Model Feed Manufacturing Mills K.00 12.00 IQOO o 8.00 Q. 6.00 o Q 4.00 2.00 A through F = mills 20 30 40 50 60 70 Volume per year ■ thousands of tons 80 90 30 Short-Run Average Costs Output of mills often drops over short periods because of seasonal fluctuations in broiler production. During such periods of reduced out- put the capacities of mills do not change. However, production costs per ton generally rise because fixed costs of mill ownership and management stay the same, and efficiency in the use of labor is impaired. The effects of such short-run changes in output on average cost for each size of mill are shown by the dotted curves in Figure 3 and are given in Appendix Tables D-1 through D-4. Costs were determined for each mill with out- put of broiler feed at 40, 60, 80, 95 and 100 percent of capacity. Breeder feed tonnage is held constant because the production cycle for breeders is not affected by short-run changes in broiler production. V. Cost of Bulk Feed Distribution New England feed manufacturers have two methods for distributing bulk feed to farms. Mills located in the feed consuming areas rely on direct mill-to-farm shipments by truck. Other firms with mills located substantial distances from feed consuming areas use railroads for the movement of feed to distributing centers. The feed is stored locally and transhipped to farms by truck. The trend is toward increased direct mill-to-farm distribution. Mills are constructed at strategic locations in major feed consuming areas and bulk distribution is usually confined to a 50 to 70-mile radius. The purpose of this section is to develop the costs of direct mill-to- farni bulk feed distribution. Costs are determined for six of the eight model feed mills discussed in the previous section for each of three levels of poultry production density. Procedure The procedure involves establishing and standardizing a number of different factors which affect distribution costs. These factors include the number and volume of distribution operations, poultry production densities, location and distance from the mill of the poultry production units, technology and technical input-output relationships for deter- mining total inputs by each firm. A schedule of the number and size of daily deliveries is developed from a number of assumptions and condi- tions pertaining to the conduct of the operation, feeding practices, feed input-output relationships, and flock sizes. The number of trucks and drivers required are calculated for each firm size and density level, and standardized costs are applied to the results. In addition, inputs and costs are estimated for other requirements such as administrative personnel, garage, and so on. With all costs determined, analyses are made to deter- mine how changes in firm size and production density affect feed dis- tribution costs and investment. 1. Number and Size of Firms, Production Densities, and Location of Poultry Production Units^ — Six feed manufacturing mills vary- 1 This section adapted from W. F. Henry and C. R. Burbee, op. cit. 31 ing in daily output from 20.90 to 348.37 tons establish the respective volumes for the six distribution firms studied. The six mill models are equivalent in output to models A, B, C, D, E, and F in the previous sec- tion. These mills supply broiler and breeder feed to coordinated or- ganizations producing from 1.25 to 20.80 million broilers a year.2 For purposes of identification, each feed distribution firm has the same letter designation as the mill it serves. Table 13 gives the volumes of feed dis- tributed by the six firms. Three levels of poultry production density are considered.^ These densities expressed in terms of feed are equivalent to distributing 1.31, 6.55. and 32.73 tons per square mile per year. The broiler producing area of each firm is a circle with the feed mill located at the center and production units scattered uniformly throughout. The size of the area is a function of firm volume and pro- duction density. For each firm, the producing area has a specific number of square miles and radius for each density level. The sizes of the areas and radii are given for each firm in Table 13. Increasing the volume distributed with density held constant re- quire? a proportionate increase in area. This is illustrated in Figure 4. The circular production area for each of the six firms are superimposed in order of size. The result is a circle enclosed by five bands. The basic or primary circle represents the poultry producing area for Firm A. Mov- ing out from the center, each distribution area in effect adds a band representing the area that must be added with each successive increase in firm size and output. This geometric arrangement provides the frame- work for investigating feed distribution by the added cost approach. The tons of feed delivered into each band annually are given in Table 13. Poultry production is assumed to be uniformly scattered through- out the area of each band in producing units. The average of the loca- tions of these units is on a line of determinable radial distance that divides a band into two equal parts with respect to area. The radial or airline distance from the mill location to the line of average location in each band for each density level is derived and given in Table 13. The relationship between radial distance and road mileage depends on the road net-work concentration in the producing area. For purposes of determining this relationship, Concord, New Hampshire, was selected as the center. The radial distance and road mileage to a number of ran- - See Appendix Table A-1. 3 Broiler production densities are 1,052, 5,263, and 26,216 pounds of finished 3.5- pound live broilers produced per square mile per year. Hatching eggs are produced at equivalent density levels. Three such density levels were used in previous reports in this series: for broiler production. Ibid.; for hatching eggs, C. R. Burbee and E. T. Bardwell, Marketing New England Poultry: 6. Economies of Scale in Hatching and Cost of Distributing Broiler Chicks, University of New Hampshire, Agricultural Ex- periment Station Bulletin 483, May 1964; and for all spatial activities, C. R. Burbee, E. T. Bardwell, and W. F. Henry, Marketing New England Poultry: 8. Effects of Firm Size and Production Density on Spatial Costs for an Integrated Broiler Marketing Firm, University of New Hampshire, Agricultural Experiment Station Bulletin 485, November 1964. However, in those three reports the work year was set at 247 days, rather than the 260 days used in this report, so production density levels were lower on a yearly basis in the previous three reports. 32 2 § H^ V C > 3 2-3 2 e « ac c es s i- .- rt t> a; -J « S 5? ® tf ;jr ■< o Q 0-) s z =: a <1^ Sh s C CIS X. X cs S V Wo s H as S o O ■^ t~- 00 t— VO O; "^ Cs i-H CO \0 I— I ro Tji \o c~- 00 in Tfi CO vo O cc O t-; -^ o\ in i—J 1— I 1— I e^i c^ CO ■>!}< OS o^ CO t~- e-j Ov c O; O co' t-^ M On vd O CO \c o e-« Lo 00 O lO rH C; ■^ On lO c~- On CO 1— I !M -^ lO '« CC M "* CO OS C<1 On NO C^ On •^' O lO 1— < i—f c^ CO CO f-; ■*_ fH CO CO OS LO — < t~^ r-^ t~^ OS (M UO «~- Ov rM CO UO O UO LO LO t-H I— t CO tP CO CN] CnJ I— I CN| CO ■<* LO NC ^ CO •<* L.O to t~; LO O irt On CO t^ r-l i—l r-l (M csj ■»* cc r- OS NO ■* CO NO ^ t— ■^ T# T)^ 0S_ CO_ NO NO NO Tiric^f cnJ < '— I CNI CNI •*oor^e3NO"* -^oor^cONO-^ cONOOt— ^-^ coNOSr--^-^ '^OOcOnOnONO,— ("^OScOnOnoO LO LO O NO C^ CNj iM I— I ^( r— I CN) > a c o H UO in o ;:« > Tf; O o ON in -^ NO CO On -J< 00 CO CO NO 00 o est Tt CO (M OS On lO "* NO OS On NO 1—1 C^ CO -^ C~- NO LO NO CO NO OS O r-; t-; t— C^ t— 1— I uo On I— I r-i eq CNl IM B3 e-j LO ON NO ON CNj o '^ CnJ ■* Tt rH on" CO o --( CNi CO in NO ^ OS in o on Tj; OS ' tNl LO NO O CO CNj in o -^ fh 00 fH ^-1 CN] CNI 03 o > o > e cs fi. a 3 OQ V fS 53 a o ■-j" Cnj c\ t— CO r— CO o ;=> OS CO r- "* CO NO cq ON in ^ «^ r> «v tfs IN in NO e-j in !>• ^ F- CO 'S" NO On ^ CN] On t~- CO t— CO O O OS CO C^ ■^ CO NO CNI On LO r* r« «^ CN ^ «s in NO SNi in r- s r— I CO -^ NO ON ^ CN] 0\ ^- CO t~- co o o OS CO r~ ■^ CO NO CN) On in *« «• c r- ci *• uo NO CNi in r- o fh CO -^ \0 ON <:c£ ;ja wciH <;m iWfc. oi'^^riwfa o cs S S S < c cs pa in CO + oo ca o u O V CO . "-• uo \o '^ • ON 0) .^ ■I n Ph il il .s , a; OS c s cs s cs X V -5 CO es c __PS -C + X -FN ^ ^Pio o. A S • • t/2 (/} S ns .2 s 4-4 cs CS 3 <; cr OJ =« OT £ rtl *^ tiM 3 O V 2 S S cu - =« C 4) ai *■' ce « 2 a •■= 13 ~ ■" cs 0) o s es (U cs PS © S S c > S B V -H O D. > c cs > « ^ * •»- * « « g 33 Figure 4. Relationship between Poultry Producing Bands and Firm Area with Density Constant domly selected points around Concord were used to derive an equation. The equation is: RM = -1.534 + 1.351R where RM is the road mileage and R the radial distance. This equation has a negative intercept value as a result of the extreme concentration of roads in the immediate vicinity of the center. Because of the negative intercept value, the above equation is used to derive all road mileages for radial distances in excess of ten miles. For radial distances of ten miles or less the following equation is used: RM rr 1.196R where RM is the road mileage and R is the radial distance. Table 13 gives the radial distance and corresponding road mileage from the cen- ter or mill location to the average location in each of the bands at each density level. 34 Bulk Feed Distribution Operation 1. Characteristics — The bulk feed distribution operation consists of loading out trucks at a mill, travel to and unloading at one or more production units, and retvirning to the mill for another load. The opera- tion is under the supervision of a dispatcher who prepares the daily delivery order schedule and assigns orders for delivery to the drivers. There is also an administrative staff for purposes of decision making and maintaining various records. The bulk feed distribution operation is closely coordinated with the feed manufacturing operation. 2. Technical Relationships — Before solving for the number of trucks and drivers needed by each firm to distribute feed at each den- sity level, the technology and related physical input-output relationships must be defined. It is assumed that each firm uses 12-ton capacity trucks with four equal size compartments and a pneumatic unloading system. Each trip includes three kinds of operations. These are (a) loading at the mill, (b) travel to production units and return to the mill, and (c) unloading at the production units. The data needed to develop rela- tionships were collected from firms utilizing the 12-ton capacity truck. (a) The loading stage commences when the driver arrives at the mill. The driver obtains the delivery orders for the trip from the dis- patcher and positions the truck under the finished feed holding bins. The driver loads the quantities shown on the order into the compart- ments and records the net weight on each order slip. In no case does the driver put part or all of two orders for the same or different formula- tions in the same compartment. The equation relating time to the tons loaded is: Hi = 0.133 + 0.0167T where Hj is the hours to load T tons of feed. (b) The travel period is the hours for the round trip from the mill to production units and return. During this period, the driver may take some time for personal needs svich as a coffee break or lunch. The equa- tion for this stage is: Hs = 0.435 + 0.0221RT where Ho is the hours of travel for the round trip of RT miles. This eqiiation is used to calculate the travel time from the mill to the average location in each band and return to the mill at each density level as shown in Table 13. (c) The unloading time is the period required to position the truck at the poultry house, attach a pipe from the l)lower unit to a pipe lead- ing to a bulk bin, start the blower unit to unload the feed. Once the feed is unloaded, the set-up procedure is reversed. The equation relating time to the tons unloaded is: Ho = 0.0702 + 0.1146T whereHo is the hours to unload T tons. Feed Distribution Model 1. Conditions and Assumptions — A number of assumptions and conditions pertinent to the analysis follow: 35 (a) "Day old" broiler and breeder chicks are placed continually in specified quantities throughout the area. (b) The production period for breeders and broilers is not varied in length. (c) Seasonal variations in feed conversion are ignored thus keeping the quantity of feed produced and distributed each day by each firm constant. (d) Feed deliveries during any one day are planned to be primarily confined to an erea segment equivalent to one-fifth of the poultry pro- ducing area, the daily requirement set by a 5-day week. This arrange- ment reduces to a minimum the intraband travel. The truck proceeds to one or more units and returns by the same route. (e ) Broiler flock sizes of a single age group are 4,800 birds in Band L 9.600 in Band II, 14,400 in Band III, 11,200 in Band IV, and 20,000 in Bands V and VI. (f) Mature breeder flock sizes consist of 2,595 birds in Band I, 5,190 in Band II, 7,785 in Band III, 6,055 in Band IV, and 5,405 in Bands V and VI. Birds in these flocks consist of several age groups. (g) Replacement flock sizes average 1,343 birds in Band I. 2.686 in Band II, 4,029 in Band III, 3,364 in Band IV, and 3,014 in Bands V and VI. (h) The work day for each truck and driver cannot exceed ten con- secutive hours. This assumption prevents the shifting of the effects of an increasing producing area onto drivers and trucks through use of over- time payments and increased truck utilization. (i) Each truck and driver can undertake only those trips that can be completed in ten hours or less. This means that a truck and driver cannot initiate a trip one day and return the next. (j) The quantity of feed delivered to a production unit plus the quantity in bins at the production unit is restricted to the amount that will be consumed in the following two weeks. The purpose of this as- sumption is to simulate as closely as possible prevailing practices. (k) Only the quantities of each feed formulation as prescribed by the adopted feeding practices are delivered to each production unit. 2. Number and Size of Daily Delivery Orders — The feed tonnage delivered to a production unit is a function of the projected feed con- sumption for the following two weeks, as determined by the size and age of flock and the compartment size of the truck. Considering these factors simultaneously with the intent of utilizing the maximum hauling cap- acity of the truck on each trip, the number and size of orders are es- tablished for each of the six bands. Table 14 gives the daily delivery schedule for each band by formula- tion, tonnage, and the number of truck body compartments needed to transport each order. Many of these orders are in units of or multiples of three tons which provides for maximum use of feed compartments. Orders for formulations in other tonnage units result from either the as- sumption concerning the amount of feed allowed to be in storage at a production unit or the balance needed to finish feeding a particular formulation. 36 a a JS u a aa ns h a 3 s 0 !>% h V fa O V V CD •r s fa i> JS C5 H o o H fa 'i^ « fa « O fa fa P30 fa fa '^ fa 03 o •— I • ^ • i^ o 1— I ri ^ N \o <^ ^^ ^ ^~. ^j;^ ^S^ ^.7:i *.« (M e^ CO (M T* CN) ■># r— 1 ^.^ ■^-^ ^-^ ■ — r— 1 — iZ fa v ■* ON O c> 1^ o F-H t-; ^-^ "^ ^-v O ,^-v o ,— V o -— ^ o ^ 'o ■>*' C^ ON -* On CO •^ CN] CnJ T}" CnJ '^ fa ^-^ ■■— ^ ■■'^ ^-^ f— t ■^-^ 1— 1 ^^ ffl O «> O o o o O ,— ^ o ,— V o ,^-v o ^•^ o ^-^ (S ^ ^ M (>) T? CN) •^ (M ■«* c^ ■^ e^s: fa V fa (0 *^ o fa to ^ fa ra O Frt 1^ O £ n3 B eg n CO ON '^ kO CnJ 1—1 o ■— ' O , CO in 2^ <=2 C ■=; :c CO o ® 1— ( CNJ ^ r^ CO o • o : e-i o o : NO o o I— I CS CN) o '-; o ^ o CO O 1— I I— I — o .^ o On p— i O i-H O I I— I ^^ (M On .— I s a > V bC CS C c o 13 V *^ CS u -S O JS V fa '5 cr V fa B fa CS S fa S s B J3 *>d V fa CS V J3 *^ a V fa CS p. fa 3 be 37 3. Truck and Driver Requirements — The daily schedule of deliv- ery orders for each band and the three technical input-output relation- ships for determining the time required to make a trip provides the means for deriving the number of trucks, drivers, man-hours, and miles of travel for each firm at each production density level. In all instances the number of drivers is the same as the number of trucks. These re- quirements are developed on a daily basis, but are readily convertible to an annual basis since the roster is typical for every day of operations. The relationships are assumed to hold over any given time period. The requirements are calculated with the objective of maximizing the tons hauled per trip and the number of trips by each truck and driver in the allowed ten-hour work day. The number of trips and tons delivered a day by a truck and driver of a given firm depends on the distance between the mill and the aver- age location of units in the bands, or the production density. As density is increased, the mileage and travel time between origin and destinations is reduced, allowing a truck to make more trips. Thus a firm with a given volume to distribute is able to reduce the number of trucks and drivers. However, as firm size and volume is increased with density constant, the added trips increase in length and travel time, thereby reducing the average number of trips and tons hauled per day per truck. The requirements of each firm at each density level are summarized in Table 15. At the lowest density level considered, 1.31 tons distributed per square mile per year, with the 10-hour work day restriction on the use of trucks and drivers, it is not possible for firm F to distribute into Band VI, thus making the entire operation of firm F an impossibility. Most of the trucks and drivers can complete only one or two trips and average between 200 and 280 miles a day. The tonnage distributed per truck varies between 12.4 and 20.9 a day. Increasing density from 1.31 to 6.55 tons distributed per square mile per year allows all six firms to operate and reduces the number of trucks and drivers needed for all firms except Firm A. Trucks and drivers can complete from two to three trips and average between 84 and 235 miles a day. Each truck delivers from 20.4 to 25.1 tons a day. At the highest density level considered, 32.73 tons per square mile per year, trucks and drivers are further reduced in number. At this den- sity level, trucks and drivers complete from three to four trips and travel from 37 to 156 miles a day. Each truck delivers from 20.9 to 34.8 tons a day. Investment Trucks are the largest investment item for the feed distribution firm. However, additional investment is needed for a garage in which to house the trucks, office space for the administrative personnel, and office equipment. 1. Truck — The type of bulk delivery truck considered here has a cost of $19,500. The tandem-axle, heavy-duty chassis costs $13,000, and the bulk feed tank with the pneumatic unloading equipment costs $6,500. These prices include all the extra equipment required by safety rules and regulations. 38 Table 15. Number of Trucks and Drivers, Miles and Man-Hours per Day and per Ton for Six Firms Distributing Feed at Three Density Levels Man- Man- Tons Number Miles Miles Number of Hours Hours Firm per Day of Trucks per Day per Ton D rivers per Day* per Ton 1.31 Ton Density Level A 20.9 1 199 9.53 1 9.34 .45 B 62.7 4 812 12.95 4 31.32 .50 C 125.4 8 1,974 15.74 8 69.33 .55 D 174.2 13 3,272 18.79 13 107.92 .62 E 261.3 21 5,837 22.34 21 181.83 .70 F 348.4 ** 6.55 Ton Density Level A 20.9 1 84 4.02 1 6.85 .33 B 62.7 3 351 5.61 3 21.14 .34 C 125.4 5 861 6.88 5 44.82 .36 D 174.2 7 1,433 8.25 7 67.42 .39 E 261.3 12 2,566 9.80 12 109.47 .42 F 348.4 17 3,989 32.73 Ton D< 11.48 3nsity Level 17 157.98 .45 A 20.9 1 37 1.78 1 5.83 .28 B 62.7 2 149 2.37 2 16.67 .27 C 125.4 4 368 2.93 4 33.88 .27 D 174.2 5 616 3.54 5 49.28 .28 E 261.3 8 1,110 4.25 8 77.24 .30 F 348.4 11 1,719 4.94 11 107.75 .31 * Day limited to 10 hours. '* Firm F cannot distribute at this density level. For any given firm, the truck investment varies according to density in the producing area. A firm distributing a given quantity of feed gen- erally needs more trucks at low density levels than at higher density levels. At the lowest density levels considered, total truck investment varies from $19,500 for Firm A to $409,500 for Firm E. The investment per ton distributed annually increases from $3.59 for Firm A to $6.03 for Firm E. At the intermediate density level, investment varies from $19,500 for Firm A to $331,500 for Firm F. Investment per ton decreases from $3.59 for Firms A and B to a low of $2.99 for Firm C and increases to $3.66 for Firm F, This five-fold increase in density results in no reduction in truck investment for Firm A to a reduction of $175,500 for Firm E. Increasing density to the maximum considered in this study results in further reductions in truck investment for all Firms but A. Firm F realizes the largest reduction, $117,000. Investment per ton at this den- sity level decreases with increasing firm size and volume from $3.59 for Firm A to a low of $2.15 for Firm D and increases to $2.37 for Firm F. Total investment for trucks is given in Table 16. 2. Garage — It is assumed that each firm has sufficient garage space to house all its trucks. According to engineering estimates, garage space 39 requires an investment of $1,200 for each truck. However, the require- ment for garage space varies according to the number of trucks needed to distribute at each density level. Total garage investment is given in Table 16 for each firm at each of the three density levels. 3. Office and Office Equipment — Office space and equipment are two minor investment items. Estimates are based on the number of ad- ministrative and clerical personnel and their equipment needs. The in- vestment by firms is given in Table 16. 4. Total Investment — Total investment for all the firms except Firm A varies with changes in density level. As density is increased, sub- stantial reductions in capital outlay for trucks and garage space becomes apparent. The total investment for the six distribution firms with density at each of the three levels considered is shown in Table 16. Table 16. Investment for Trucks, < [parage, Office and Office Equipment for Six Firms at Each of Three Density Levels i Firms A B C D E F 5,434* 16,302 32,609 45,287 67,933 90,577 (dollars) 1.31 Ton Density Level I Trucks** 19,500 78,000 156,000 253,500 409,500 t Garaget 1,200 4,800 9,600 15,600 25,200 Office 300 600 750 900 1,150 Office Equipment 110 177 320 361 427 Total 21,110 83,577 166,670 270,361 436,277 Investment per Ton 3.88 5.13 5.11 6.55 Ton 5.97 Density Level 6.42 Trucks** 19,500 58,500 97,500 136,500 234,000 331,500 Garaget 1,200 3,600 6,000 8,400 14,400 20,400 Office 300 600 750 900 1,150 1,400 Office Equipment 110 177 320 361 427 539 Total 21,110 62,877 104,570 146,161 249,977 353,839 Investment per Ton 3.88 3.86 3.21 3.23 3.68 3.91 32.73 Ton Density Level Trucks** 19,500 39,000 78,000 97,500 156,000 214,500 Garaget 1,200 2,400 4,800 6,000 9,600 13,200 Office 300 600 750 900 1,150 1,400 Office Equipment 110 177 320 361 427 539 Total 21,110 42,177 83,870 104,761 167,177 229,639 Investment per Ton 3.88 2.59 2.57 2.31 2.46 3.91 * Figures across are tons delivered annually. ** Truck investment is $19,500 each. t Garage stalls at $1,200 for each truck. t Firm F cannot operate at this density level. 40 Feed Distribution Costs Application of standardized costs to the several input-output quan- tities establishes the relationship between cost and the volume of feed distributed. The costs used are appropriate to New England conditions. The distribution costs are classified as truck, driver, administrative per- sonnel and miscellaneous. 1. Truck Costs — A function relating cost to distance expressed in miles was developed from technical data provided by several feed dis- tributing firms and equipment manufacturers. Truck costs include a number of items which are either fixed or variable costs or a combina- tion of both. The fixed costs include truck registration, insurance, license and anti-freeze. The variable costs associated with use are gas, oil, and lubrication. Those costs associated with use and ownership are deprecia- tion, interest on investment, maintenance and repair, taxes, and tires. A cost was derived for each truck-cost item for each of several an- nual mileage levels, and the costs were summed to determine an annual total operating cost for each respective mileage level. A relationship between the two was derived by the least-squares method, and the equa- tion is: AC = 3,157.5N + 0.18309M where AC is the total annual operating cost in dollars, N is the total number of trucks, and M is the miles of travel per year. The annual fixed cost per truck is $3,157.50 and the variable cost is 18.3 cents per mile. Figure 5 illustrates the relationship. The equation is used to determine the annual cost of operating the trucks for each firm size at each of the three density levels. These costs and the average cost per ton are given in Table 17. 2. Driver Costs — Truck driver wage rates vary considerably in the New England region. Generally, rates become progressively lower, the Table 17. Truck Costs for Six Firms Distributing Feed at Three Density Levels Firm Density A B C D E F 5,434* 16,302 32,609 45,287 67,933 90,577 ( tons per square (annual cost in dollars) mile per year) 1.31 12,629 6.55 7,156 32.73 4,919 51,284 26,182 13,408 119.229 196,806 56,774 90,319 30,148 45,112 (dollars per ton) 344,170 160,040 78,100 ** 243,568 116,563 1.31 2.32 6.55 1.32 32.73 .91 3.15 1.61 .82 3.66 4.35 1.74 1.99 .92 1.00 5.07 2.35 1.15 ** 2.69 1.29 Figures across are tons delivered annually. ' Firm F cannot operate at this density level. 41 Figure 5. Relationship between Annual Mileage and Total Annual Operating Costs for 12-Ton Capacity Bulk Feed Trucks 0 25 50 75 Miles per year (000) farther north in the Region. The rate adopted for hulk feed track drivers is a base wage of $2.00 per hour phis 40 cents an hour in fringe benefits. Fringe benefits inchide vacation and sick leave, Social Security, medical and health insurance, and a company-sponsored pension program. This rate is used to determine the annual drivers' wage cost for each of the six firms with distribution at each of three density levels. The annual and per ton cost for drivers is given in Table 18. 3. Administrative Personnel and Costs — Administrative functions include managing the distribution operation, scheduling and dispatching trucks and drivers, and performing various clerical and bookkeeping chores. Estimates of personnel requirements and costs were obtained 42 Table 18. Driver Costs for Six Firms Distributing Feed at Three Density Levels Firm Den^it^ A B C D E F 5,434* 16,302 32,609 45,287 -67,933 90,577 (tons per -t- ment for office equipment. The annual interest charge is three percent of the initial investment. Annual taxes are $25 per thousand on half of the new investment value. Annual insurance, maintenance and repair are each assumed to be one percent of the initial investment. Utility and telephone costs are estimated from information supplied by firms. Supplies are a constant unit cost and are assumed to be two cents per ton of feed distributed. 5. Total Distribution Cost — Table 21 gives the total annual and average per ton feed distribution costs for each firm operating at three density levels. For each situation, truck costs constitute approximately half of the total cost. Drivers' wages are the second largest cost item and vary from about 25 to 35 percent of the total. The administrative and miscellaneous costs constitute the balance. 44 Table 21. Summary of Feed Distribution for Six Firms Distributing Feed at Three Density Levels Firm A B C D E F Item 5,434* 16,302 32,609 45,287 67,933 90,577 (dollars) 1.31 Ton Density Level Trucks Drivers Administrative Miscellaneous 12,629 5,828 1,450 388 51,284 19,544 3,425 1,152 119,229 43,262 5,700 2,176 196,806 67,342 7,600 3,219 344,170 113,462 10,575 4,971 * * Total Annual Cost Cost per Ton 20,295 3.74 75,405 4.63 170,367 5.22 274,967 6.07 473,178 6.96 6,55 Ton Density Level Trucks Drivers Administrative Miscellaneous 7,156 4,274 1,450 388 26,182 13,191 3,425 1,014 56,774 27,968 5,700 1,762 90,319 42,070 7,600 2,391 160,040 68,309 10,575 3,729 243,568 98,580 13,700 5,084 Total Annual Cost Cost per Ton 13,268 2.44 43,812 2.69 92,204 2.83 142,380 3.14 242,653 3.57 360,932 3.98 ^ $2.73 Ton Density Level Trucks Drivers Administrative Miscellaneous 4,919 3,638 1,450 388 13,408 10,402 3,425 874 30,148 21,141 5,700 1,624 45,112 30,751 7,600 2,115 78,100 48,198 10,575 3,177 116,563 67,236 13,700 4,256 Total Annual Cost Cost per Ton 10,395 1.91 28,109 1.72 58,613 1.80 85,578 1.89 140,050 2.06 201,755 2.23 * Figures across are tons distributed annually. ** Firm F cannot distribute at this density level. (To distribute at this density level requires changes in the restriction on overtime.) For the five firms able to distribute feed at the lowest density level considered, total annual cost increases from $20,295 for Firm A to $473,178 for Firm E. Average cost increases continuously with increasing volume from $3.74 for Firm A to $6.96 a ton for Firm E. All six firm sizes can distribute feed at the intermediate density level. Total annual cost increases from $13,268 for Firm A to $360,932 for Firm F. Average cost also increases continuously with increasing volume from $2.44 for Firm A to $3.98 a ton for Firm F. Distributing feed at the highest density level results in annual costs increasing from $10,395 for Firm A to $201,755 for Firm F. However, average cost decreases from $1.91 a ton for Firm A to $1.72 for Firm B and increases continuously with further increases in volume to $2.23 a ton for Firm F. The relationship between average cost and volume at each density level is shown in Figure 6. The relationship between average cost and density for each of the six firms is illustrated in Figure 7. 45 Figure 6. 7.00 6.00 5.00 4.00 ■3.00 o o 2.00 1.00 Average Cost per Ton for Bulk Feed Distribution at Three Density Levels .31 tons per square mile per year 6.55 tons per square mile per year 32.73 tons per square mile per year 20 30 40 50 60 Thousands of tons distributed per year 70 80 90 With a given firm size, decreasing the size of the hroiler producing area resuhs in substantial reductions in the average cost per ton for dis- tribviting feed. However, the reductions diminish with successive de- creases in area. For Firm A, most of the reductions occur over a range in density from 1.31 to 10 tons per square mile and amounts to approximately $1.50 per ton. With increases in firm size and volume, reductions in average cost occur over a wider density range, 1.31 to 20 tons per square mile and increase in magnitude. The reduction in average cost increases from ap- proximately $2.60 per ton for Firm B to $4.70 a ton for Firm E. Increas- ing density from 20 to 32.73 tons per square mile results in small reduc- tions varying from 19 cents per ton for Firm A to 25 cents per ton for Firm F. These data indicate the general positive relationship between dis- tance and feed distribution costs. The methodology used does not, how- ever, precisely determine the effect of distance on the cost of distributing a ton of feed. To develop such a relationship, the cost of distributing a ton of feed to each band at each density level was determined and paired with its respective one-way road mileage. An equation expressing the relationship is derived by the least-squares method and is: C = 1.250 + 0.0489M4 4R2 .97. 46 where C is the cost per ton for delivering a ton of feed from a mill to a production unit located M miles from the mill. The added cost per ton for each mile (one way) is 4.89 cents, and the fixed cost associated with each ton is $1.25. Figure 8 illustrates this relationship. Figure 7. Relationship between Average Cost per Ton and Feed Distributed per Square Mile per Year for Six Firms 7.00 6.00 5.00 §4.00 0) Q. 3.00 "o Q 2.00 1.00 A through F = firms 5 10 15 20 25 30 Tons of feed distributed per square mile per year 35 47 Figure 8. Relationship between Distance in Road Miles and Distribution Cost per Ton 9.00 8.00 7.00 6.00- §5.00 Q. u> 4.00 _o "o Q 3.00 200 .00 O Y= 1.250+ 0.0489 X 0 50 100 Road miles one way 150 VI. Total Cost for Feed Manufacturing and Distribution The optimum size of a feed manufacturing plant requires simultane- ous consideration of feed manufacturing and distribution costs. Con- sideration of each independently might result in a higher total average cost than otherwise could be achieved and place the firm at a competi- tive disadvantage. The purpose of this section is to combine the manu- facturing and distribution costs developed in the previous sections to determine the manner in which the two variables, plant size and density, affect optimum size. The combined or total costs are presented for six 48 firms ranging in annual output from 5,434 to 90,577 tons with feed dis- tributed at three density levels, 1.31. 6.55. and 32.73 tons per square mile per year. Effect of Density Level The total average cost for each of the six firms at each density level is given in Table 22. The volume-cost relationship for each density level is illustrated in Figure 9. At the lowest density level, total average cost decreases from $12.33 a ton for Firm A to $10.45 for Firm C and increases with further in- creases in size and volume to $11.26 for Firm E. The least-cost size firm at this density. Firm C, is producing 32,609 tons of feed a year and dis- tributing into an area with a radius of 89 miles. This quantity of feed is sufficient to produce the hatching eggs and broilers for a firm processing 7.5 million finished live broilers (26.2 million pounds) a year with a plant capacity of 3,600 broilers an hour on a single shift basis. ^ Increasing density to the intermediate level results in the average total cost per ton decreasing from $11.03 for Firm A to a low of $7.82 for Firm D and increasing with further increases in firm size and output to $7.99 for Firm F. The least-cost size firm at this density. Firm D, pro- Table 22. Total Feed Manufacturing and Distribution Cost per Ton for Six Firms with Feed Distributed at Three Density Levels Item Feed Manufacturing Feed L)i>tribution Total Firm A 5.434^^ BCD 16,302 32,609 45,287 E 67,933 F 90,577 8.59 3.74 (dollars per ton) 1.31 Ton Density Level 6.29 5.23 4.68 4.63 5.22 6.07 4.30 6.96 ** 12.33 10.92 10.45 10.75 11.26 Feed Manufacturing 8.59 Feed Di^tribution 2.44 Total 11.03 6.55 Ton Density Level 6.29 5.23 4.68 2.69 2.83 3.14 8.98 8.06 7.82 4.30 3.57 7.87 4.01 3.98 7.99 32.73 Ton Density Level Feed Manufacturing Feed Di^tribution 8.59 1.91 6.29 1.72 5.23 1.80 4.68 1.89 4.30 2.06 4.01 2.23 Total 10.50 8.01 7.03 6.57 6.36 6.24 * Figures across are annual volumes in tons. ** Firm F cannot distribute at this density level. 1 The feed manufacturing and distribution cost for Firm C is equivalent to 1.3 cents a pound of finished live broiler. 49 12.00 10.00 800 °-6.00 o o 4.00 2.00 Figure 9. Total Average Cost per Ton of Feed Manufacturing and Distribution with Feed Distributed at Three Density Levels 31 tons per square mile per year 6.55 tons per square mile per year 32.73 tons per square mile per year 10 20 30 40 50 60 Thousonds of tons per year 70 80 90 duces 45,287 tons of manufactured feed a year and distribute? into an area with a radius of 46.9 miles. This output is sufficient to produce 10.4 million finished live broilers (36.4 million pounds) annually and to keep a processing plant with a line capacity of 5,000 broilers per hour operating at its designed output on a single shift basis throughout the year.- Manufacturing and distributing feed at the highest density level considered results in a decreasing total average cost over the entire range of firm sizes considered. The cost per ton decreases from S 10.50 for Firm A to $6.24 for Firm F. Firm F produces 90,577 tons of finished feed a year and distributes into an area with a radius of 29.7 mile?. The feed volume is sufficient to grow out 20.8 million finished live broilers (72.8 million pounds) annually.^ This volume of broilers will keep a pro- cessing plant with a line capacity of 10,000 broilers an hour operating at its designed output on a single shift basis throughout the year. 1. Long-Run Changes — The effect on total average cost from long- run changes in mill size and output and density can be determined from the data in Table 22. Increasing density from the 1.31 to 6.55-ton density levels requires an increase in mill size and output from 32,609 to 45,287 tons a year and reduces the average manufacturing cost by S.55 a ton. - The feed manufacturing and distribution cost for Firm D cents a pound of finished live broiler. 3 The feed manufacturing and distribution cost for Firm F cents a pound of finished live broiler. is equivalent to 0.97 is equivalent to 0.78 50 The producing area is reduced in radius from 89 to 46.9 miles resulting in a reduction of the distribution cost of $2.08 per ton. The total reduc- tion amounts to $2.63 per ton. Increasing density from the 6.55 to 32.73-ton level requires a doubling in mill size and output from 45,287 tons to 90,577 tons a year. This reduces the average manufacturing cost by $.67 a ton. The poultry producing area is reduced from a radius of 46.9 miles to 29.7 miles and the average distribution cost is reduced by $.91 a ton. The total reduc- tion is $1.58 a ton which is substantially less than the previous reduction. 2. Short-Run Changes — In the short-run, while the firm is not able to change plant size, substantial reduction in cost may be realized by increasing density by dropping producers on the fringe and adding producers close to the mill. Increasing density from 1.31 to 6.55 tons reduces the distribution cost by amounts varying from $1.30 per ton for Firm A to as much as $3.39 per ton for Firm E. Only 24 cents a ton then separates the costs for Firms C. D. E. and F. Increasing density from the 6.55-ton to the 32.73-ton level provides further reductions in cost varying from $.53 a ton for Firm A to a high of $1.75 a ton for Firm F. The average costs of the three lowest cost Firms D, E, and F. fall within a range of 34 cents. 51 APPENDIX A Determination of Feed Mill Capacities and Outputs The feed manufacturing capacity and output of each model feed mill is based on the feed requirements of the vertically coordinated broiler marketing organization consisting in part of broiler processing, live broiler production, hatching egg production, and broiler chick hatching. The organization controls other stages such as broiler assembly and chick distribution, but neither affects the quantities of broilers and eggs produced. It is assumed that the organization produces only the quantities of inputs necessary to ultimately operate the broiler process- ing plant at its designed capacity and output. Eight processing plants ranging in capacity from 600 to 10.000 broil- ers per hour serve as the basis for establishing feed requirements. These plants are assumed to process straight-run broilers averaging 3.5 pounds live. Plants operate eight hours a day, 260 days a year. The quantity of broilers needed varies from 1.248 million a year for the smallest firm to 20.8 million for the largest firm size considered. Appendix Taljle A-1 gives the annual requirements. ^ The input for the processing plants establishes the output for the live broiler production stage. However, the input of day-old chicks need- ed is somewhat larger to compensate for bird mortality during the grow- ing-out period. A mortality rate of 4.2 percent is used to derive the re- quired chick input. This input varies from 1.303 million a year to 21.712 million chicks as shown in Table A-1. Hatchery outputs are equivalent to the broiler chick inputs. Con- verting chicks to hatching eggs is based on a 72 percent hatchability rate of good chicks. Egg inputs to the hatcheries vary from 5,026 cases to 83,765 cases a year. The quantities for the intermediate size firms are given in Table A-1. Mature breeders are assumed to prodvice an average of 118 hatching eggs per bird over a 40-week laying period. At this rate, the total annual number of female breeders required varies from 15,333 to 255.553 with 11,795 to 196,579 being in production at any one time. There is a min- imum of one male for each ten females. The total annual numljer of males varies from 1,533 to 25,555 with 1,179 to 19,658 being fed at any one time. The breeders are purchased as day-old chicks from a primary l)reed- er hatchery and grown out to maturity by the firm. During this period, an assumed 15 percent of the females are lost through mortality and culling. For each 100 purchased female chicks, 15 male chicks are pur- chased. The total number of day-old chicks purchased annually varies from 18,039 females and 2,705 males to 300,651 females and 45.098 males. Table A-1 gives the quantities of chicks purchased by each of the eight firms. 1 Derived from G. B. Rogers and E. T. Bardwell, op. cit. In that report the hourly capacities of the processing plants are the same as those used in this report: however, the work year was 247 days in the Rogers and Bardwell report, but is 260 in this one, so that total annual capacities are not the same. 52 o e^ Lrt f5 in OS t— * DO 0^ t^ o f-H i> tM bC s u S O 15 s a o ■^ ■* V© r- cn ON cn e^ cn o 00 M -o VO cn CO e>fl I-H cn <« *i 00 ve5_ I-H CO ■* CO cn ®i> in VO C# CO CO ^^ o o CO CO VO e^ H* ^^ t^ o o p-H rr cn o r- C^ o^ =, ^, s. rH rH ^ cn cn C^ 1/5 VO •* o •«* CO M >o~ "^ ■* in in >o rH VO in (M r~ tr^ ■«*• Ov IM rH 00 Cv w in VO VO cn r- r-^ Ov ^ ■^ vO o VO o t— o "^ Tt CO •• *^ evi CVI o o cn cn >o in ^^ o — H cn cn cn rj< rH CO cn VO cn cn VO Cv in T* •^ H* o 23 cn cn VO cn c; •^ cn iM cn "*^ cn in CO o t~- -* rH in in r—t VO I-H CO evi cvi in cs H X irt s V V O u Ph I' I' . 'o b hJ - CQ - V 3 O 3 s b O -2= ^ o N O m "-" rr CS c o s r:=: "f '^5 SCO -O ^ r3 (« S I S-S o H V V a; b -H fi cs CS E-S U* S -— -id E.i 15 u V MiU « 2 <=i 3 I- "^ 3 J= ZU o 4H CA ^ ^ "C ^ V CJ b 3 4H u u > x "n *J ^ B CS "^ i b O S s B I-H «r. c= CS B VO .2 <^ 'o * o o •PH b a V v b > o b b V a >s •* >$CV| S^ '^ ^ B 111 CS C8 CS t «^ O « CO Sa: ^^ -SrH 53 Feeding Practices- and Coefficients Straight-run broilers averaging 3.5 pounds live are grown out in eight weeks on a feed conversion of 2.10 pounds of feed per pound of broilers. At the time of assembly for processing, each broiler has con- sumed an average of 7.35 pounds of feed, all in crumble form. A broiler- starter formulation is fed for the first five weeks of the growing period. During this period, birds consume an average of 2.9 pounds each. The balance of the feed, 4.5 pounds of finisher formulation, is consumed dur- ing the last three weeks. Breeders are fed three formulations, two during the growing period and one during the laying period. A starter formulation in mash form is fed for the first six weeks at the rate of six pounds per chick started. This formulation is followed by a grower formulation for the next 14 weeks in pellet form at the rate of 14 pounds per started chick. During this 14-week period, birds are on a restricted feeding program. A mash form breeder formulation is fed during the production period at the rate of 8.5 pounds per dozen hatching eggs. The tonnages of each formulation mixed daily by each of the eight mills and the total tonnages mixed an- nually are given in Table 1, page 7. 2 Input-output relationships and feeding practices provided by the Poultry Division, Animal Science Department, University of New Hampshire. 54 APPENDIX B Poultry Feed Formulations The two broiler and three breeder feed formulations used in this report are given in Table B-1. The formulations are adopted from the 1963 New England College Conference Chicken and Turkey Rations. The breeder formulations are modified by substituting 50 percent pro- tein soybean oil meal for the recommended 44 percent. This eliminates the need for the model mills to purchase and store two different grades of meal. The substitution reduces the pounds of soybean meal per ton and is offset by the addition of a like number of pounds of corn. Appendix Table B-1. Broiler and Breeder Feed Formulations'* Ingredient Broiler Breeder Starter Finisher Starter Grower Breeder Corn, yellow No. 2 Soybean Meal (50%) 1,075 500 1,225 350 (pounds) 1,175 500 1,260 220 1,365 175 Stabilized fat 80 80 20 20 20 Corn gluten meal 100 100 Fish meal (60%) 100 100 50 50 75 Distillers dried sol. 50 50 50 50 50 Alfalfa meal 50 50 50 50 50 Standard wheat midds 100 300 100 Dicalcium phosphate 18 18 22 24 10 Ground limestone 20 20 24 20 100 Iodized salt 5 5 5 5 5 Meat and bone scrap 50 Manganese sulfate .5 .5 .5 .5 .5 dl Methionine .5 .5 Antioxidant .25 .25 Organic arsenical supplement .1 .1 Antibiotic supplement ** ** ** ** Total Ibs.t 1,999.35 1,999.35 1,996.5 1,999.5 2,000.5 * New England College Conference Chicken and Turkey Rations, Department of Animal Sciences, University of New Hampshire, Durham, New Hampshire, 1963. ** Add one to five pounds per ton depending on product and manufacturer's recommendations. t Add or subtract corn to adjust to 2,000 pounds. 55 APPENDIX C Major Equipment Items for Eight Model Mills Mill A Mill A 20.9 tons per day 41.8 tons per day 1 ea. 40 hp Hammermill ar id blower ea. 50 hp Hammermill 1 ea. 5 hp Vertical mixer. 1 ton ea. 20 hp Pneumatic conveyor 1 ea. 40 hp Pellet mill ea. 10 hp Vertical mixer, 2 toi 1 ea. 10 hp Cooler and cru mhillzer ea. 75 hp Pellet mill 1 ea. 31/2 hp Fat applicator ea. 101/2 hp Pellet cooler 1 ea. 20 hp Boiler ea. 71/2 hp Crumbilizer ea. 31/2 hp Fat applicator ea. 45 hp Boiler Mill B Mill B ' 62.7 tons per day 83.6 tons per day 1 ea. 75 hp Hammermill 1 ea. 100 hp Hammermill 1 ea. 25 hp Pneumatic conveyor 1 ea. 25 hp Pneumatic conveyor 2 ea. 71/2 hp Vertical mixers , 11/2 ton 1 ea. 15 hp Horizontal mixer, 1 ea. 60 hp Pellett mill 11/2 ton 1 ea. 50 hp Pellet mill 2 ea. 75 hp Pellet mills 1 ea. 151/ hp Pellet cooler 2 ea. 101/2 hp Pellet coolers 1 ea. 10 hp Crumbilizer 2 ea. 10 hp Crumbilizers 1 ea. 31/2 hp Fat applicator 1 ea. 5 hp Fat applicator 1 ea. 60 hp Boiler 1 ea. 80 hp Boiler 2 ea. 1 ea. 1 ea. 1 ea. 1 ea. 1 ea. 1 ea. 2 ea. 1 ea. Mill C 125.42 tons per day 75 hp 50 hp 20 hp 100 hp 125 hp 101/2 hp 151/2 hp 10 hp 5 hp 1 ea. 125 hp Hammermills Pneumatic conveyor Horizontal mixer, 2 Pellet mill Pellet mill Pellet cooler Pellet cooler Crumbilizers Fat applicator Boiler ton Mill D 174.18 tons per day 2 ea. 100 hp Hammermills 1 ea. 60 hp Pneumatic conveyor 1 ea. 25 hp Horizontal mixer, 3 ton 2 ea. 100 hp Pellet mills 1 ea. 125 hp Pellet mill 2 ea. 101/2 hp Pellet coolers 1 ea. 151/2 hp Pellet cooler 3 ea. 10 hp Crumbilizers 1 ea. 5 hp Fat applicator 1 ea. 200 hp Boiler 261.28 3 ea. 100 hp 1 ea. 60 hp 1 ea. 30 hp 2 ea. 20 hp 3 ea. 125 hp 1 ea. 100 hp 3 ea. 151/2 hp 1 ea. 101/2 hp 4 ea. 10 hp 2 ea. 5 hp 1 ea. 250 hp Mill E tons per day Hammermills Pneumatic conveyors Pneumatic conveyor Horizontal mixers, 2 Pellet mills Pellet mill Pellet coolers Pellet cooler Crumbilizers Fat applicators Boiler ton Mill F 348.37 tons per day 3 ea. 125 hp Hammermills 3 ea. 40 hp Pneumatic conveyors 2 ea. 25 hp Horizontal mixers, 3 ton 4 ea. 125 hp Pellet mills 1 ea. 100 hp Pellet mill 4 ea. 151/2 hp Pellet coolers 1 ea. 101/2 hp Pellet cooler 5 ea. 10 hp Crumbilizers 2 ea. 5 hp Fat applicators 1 ea. 300 hp Boiler 56 h *3 er it* b e b J3 5 4) ^ S 0) S a b CC ifl s «*i^ OS er Cfi ^ D O ^ tf QJ *S ti Q 4J rt &: s ixl )^ te -r NN > < Mill Bree u J « §: .SP-S < ^ b « 1 •^ s U 0 en t, 0 V ^3 u a c/i Short-run Average and 100 H ■3 s a a H oa CQ in CO CO ta I— I u V a. 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