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Hereafter, in the discussion of this table, this 0.0897 pound of protein to each pound of carbohydrates is referred to as ‘‘proportional protein.’’ It is the proportion of protein accompanying carbohydrates in corn. A ton of dried brewers’ grains contains 884 pounds of carbohy- drates and 430 pounds of protein. Now, in corn, 884 pounds of carbohydrates would be accompanied by 79 pounds of protein (884 xX 0.097 =79). The nutrients in a ton of dried brewer’s grains may thus be classified as follows: Pounds Carbohydrates, 884 pounds, proportional protein. ...-............2ceeceeeeceee 79 | excess protein. 222.002 ou ee 351 Motalproteim..2 255s Oe ol eee en tel 430 The digestible carbohydrate content of a ton of each of the various protein feeds is given in Table IV, first column to the right of the double rule. The digestible protem per ton is given in the next column. ‘This is the sum of the proportional protein, given in next to the last column, and the excess protein, given in the last column. The proportional protein in choice cottonseed meal, for instance, which is 74 pounds, merely represents the protein obtained in corn along with 824 pounds of carbohydrates, which is the amount of the latter contained in a ton of choice cotton seed meal. The method here outlined is based on the assumption that the carbohydrates and ‘‘proportional protein” in a ton of any expensive protein feed are worth just what they would cost in the cheap and standard carbohydrate feed used as a basis of comparison (corn in Table IV). The first 11 columns of figures in Table IV give the value of the carbohydrates and proportional protein in a ton of each of the various nitrogenous feeds when the price of corn is as shown in the column headings. When corn is worth more than a dollar a bushel, the value of the carbohydrate and proportional protein given in Table IV may be easily obtained by either combining the figures given in two columns or by adding to the values given in one column a proportional part of the values given in another. For example, when corn is worth $1.50 a bushel, double the amounts given in column headed ‘‘$0.75”; when it is worth $1.15 a bushel add to the values given in column headed ‘‘$1.00”’ one-third the amount given in column headed °° $0.45.” To illustrate the method of arriving at the cost of a pound of excess protein, let us assume that corn is 60 cents a bushel and peanut cake is $30 a ton. In the column headed ‘‘$0.60” we find x 12 BULLETIN 637, U. S. DEPARTMENT OF AGRICULTURE. that when corn is 60 cents per bushel the carbohydrates and propor- tional protein in a ton of peanut cake are worth $10.21. The excess protein in a ton of cake thus costs $30 — $10.21 =$19.79. Since there are 790 pounds of this excess protein, a single pound costs $19.79 + 790 = $0.025, or 2.5 cents. A few additional problems will show the facility with which com- putations may be made by use of this table. 1. Corn is available at 60 cents a bushel. Choice cottonseed meal ean be bought at $32 a ton and high-grade gluten feed at $24. Which of the latter is the cheaper source of protein ? Solution: Cottonseed meal. Gluten feed. $32.00 $24. 00 171.49 116.48 2666) 20.51 2326) 7.56 0.0308 0. 0232 Hence, gluten feed, under the conditions named, is the cheaper source of protein. It furnishes this element at 2.32 cents per pound, as against 3.08 cents for cottonseed meal. In case the price of corn is not given exactly in the table, use the nearest price given. In this case the result will not be exact, but the inaccuracy will be of such nature that the result is never misleading. 2. With corn at 80 cents a bushel, choice cottonseed meal $45 per ton, and tankage (45-55 per cent) $50 per ton, which of the latter furnishes protein more cheaply ? Solution: Cottonseed meal. Tankage. $45. 00 $50. 00 15. 30 11. 44 666) 29.70 907) 38.56 0. 0446 0. 0425 The $15.30 and $11.44 in the above solution are taken from Table TV, column headed ‘‘$0.80’’; the 666 and 907 are taken from the last column. Tankage is seen to be the cheaper source of protein at the prices given. HOW TO USE TABLE IV. Given a certain number of protein feeds with the local selling prices per ton, to determine the relative cost of protein per pound, proceed as follows: 1. In columns headed ‘‘Value of corn per bushel” select the one corresponding most nearly to the local market price of that grain. 2. In that column take the amount found opposite the name of the feed in question and subtract it from the local selling price of that feed. The difference represents the value of the excess carbohydrate. 1 From column headed $0.60in TableIlV. This figure is the valueof thecarbohydrates and proportional protein in a ton of the feed in question. 2 From last column of TableITV. Pounds of excess protein in a ton of this feed. CALCULATING ECONOMICAL BALANCED RATIONS. - 13 . 8. In the last column opposite the name of the feed is given the -~ amount of excess protein in a ton. Divide the value obtained above by this amount and the result is the value of a pound of excess pro- tein, when bought in the feed considered. _ RELATIVE VALUE OF CARBOHYDRATE FEEDS WHEN THE CHEAPEST AVAILABLE FEED IS NITROGENOUS. In some sections of the country the most available feeding stuff is distinctly nitrogenous in character, and it is desirable to buy carbo- naceous feeding stuffs to balance the ration. Thus, in the South, cottonseed meal is frequently the basic feeding stuff, while in many _ parts of the West alfalfa occupies this position. In such cases it becomes desirable to know the cheapest available source of carbo- _ hydrates. The method of procedure is given in the following pages. It is similar to that already given for evaluating protein feeds. 2 As seen in Table V a ton of choice cottonseed meal contains 740 pounds of digestible protein and 824 pounds of digestible carbohy- drate, or 1.113 pounds of carbohydrate for each pound of protein. Hereafter, in the discussion of this table, this 1.113 pounds of carbo- hydrate to each pound of protein is referred to as ‘‘proportional car- bohydrate.” It is the proportion of carbohydrates accompanying protein in cottonseed meal. A ton of barley contains 180 pounds of protein and 1,408 pounds of carbohydrate. Now, in cottonseed meal, 180 pounds of protein would be accompanied by 200 pounds of carbohydrate (180 1.113 = 200). The nutrients in a ton of barley may thus be classified as follows: ; Pounds Proteins 180 pounds, proportional carbohydrates. ...........-.-...-..-. ae 200 excess carbomydratess Sa 25 ott, aoe 1, 208 Motalearbohydrates. 4200.28. 2 2 an te tee 1, 408 The digestible protein content of a ton of each of the various carbohydrate feeds is given in Table V, first column to the right of - the double rule. The digestible carbohydrate per ton is given in the next column. This is the sum of the proportional carbohydrate, given in next to the last column, and the excess carbohydrate, given in the last column. ‘The proportional carbohydrate in dry beet pulp, for instance, which is 102 pounds, merely represents the carbohydrate obtained in cottonseed meal along with 92 pounds of protein, which is the amount of the latter contained in a ton of dry beet pulp. The method here outlined is the same as that for Table IV. It is based on the assumption that the protein and the proportional car- bohydrate in a ton of any expensive carbohydrate feed are worth just what they would cost in the cheap protein feed used as a basis of comparison (cottonseed meal in Table V). ‘[ROU POOSUO}400 GdTOYO UO poseq UOT}ISOdMIOD 1 929. CLS 86 PPS 61 ET bo TL 68 6 $2 '8 19°9 6 'P 08's Bi ne Sale late aie | o> nee nee 988i VOL Oth ‘1 PLT OF 6 £28 G02 88°C IL? gG:8 fend Sees = Ee “na Sains arg ange se . esleeiacs eeUak pi te Il LOT OFF ‘T OST res OTL 80°9 10°S 90°F 60'S £0°% ppcieae aoe ar ape ur Sh See Cee Bea -- ulead ‘UINYsI0g fact G0 iL- G06 OIF T F8T [6 6 0L°8 OFZ (aa) 86 °P 1° 6h '% tay kn oe aa ae a ee Pe ere Ee a Ae iatiers: --=*=-1eour of G08 02% CoP T 861 OL ‘OL 18°6 Z0'8 699 98°9 10°F 19°% Roce “CRS eye en erage sesame ° aie Samer ae yy, 2 £92 ab SOT 89 al t6 80'S cy Y 18 °€ 8I€ P'S 16'T LZ°T Pear TRE TARR ae” SEES Seen Pikeman” 7 ins carat ae meee ea ysnol forte a £08 ‘T BLT e8F 'T O9T G9 8 LS ‘L 8h 9 OFS EP Fo °E 91% aay ik ae Ane in Mee te a oo Wl a oes el 8 --poystjod ‘QOIYy 5 ree q Bae see or L9°2 L ‘9 92'S 08 "Pb t8°€ 88% 4 chal cree Re Serre iy Yee, Rae a amen REO Coes cra UB OOTY Ue eee OUTS | Rae tice FR eI Ae [Pe Bal co ce Aiea eno -pitceen er eee a 2116 COT ZIT | SPT 00" 0° gone eee Gar Bo me Sere neni Cinije aii iver ek on Rae ane ee ci ar Re 3 oy r, ut 4 00°¢ 10% 00°€ 00°% aR 7 ad oa ea jU09 Jed ¢Z-—OT ‘spooj SossefoWT Bie eee pal our ; G9" veg th 'P 2E'S 2a “4ued Jed OT Moreq ‘spooj Sossejo : aes ise ee SoM ET ea ig el eS APR ool Ne Aig Rae AP “| SP00§ VyTesLe SOsseION jean O86 ‘T b6L POP ‘T PLI OF '6 €S'8 G °. ae . 0 . LG" Bene c Ep Ree" 2e7 7 221) Gee Rees” Sa ee a eee SOE elon = oan 002 ° fozr‘t | ost €1,°6 19°8 082 50-9 187 09 € ee ie at : 9° Ghiceee, (este ees aire ee a See sie one elon ee ing a mimainie eyes ee ee tie ee Se ee eee | eee Tope mop oo) ttn ; ¢ ¢ : : #8 °S 68 °T ee a et ds eee see a, po en eS (OpeBid Yst 90} AUTUIO 102 18h ZS ‘T EP GE “8S eh 0% 19 ‘LT 69 FL 69° 9." 8" Sega = “pelea Gea ogress salves “es is Saray pai a 5g £96 198 oze‘T — | oge Terie MD CU eel Berea “OT TE gel ee 8 | 60-0 Opp focesecceteeseeeseeceeteesessee Gp EEE wHI05 ere aoe Ste lire, me ie lee ee eee ete: fa wears (epes# uayy) teeur fo 300 fm : 98° : : ; : (6 SO ae ON Aue Ce | ae ie. SRE Rue ea ens nan Pe ee ec ee Bee Sere We ee a ee oe eee Poy oqo pu 80 109 C : 1C Ugh 2] =, ceeee ae ier cet KORA. Meee oe ae Be g ie | vet oe Dia Se VERO a) GUS ROD i eek eer ai ORe | OE ele ple ae ee rec pesaghs ae tee i : LY 68 °P 82°E 61 °% Fe PRG ye ae Fie HEE 722 GS aan Fi SaoreS einlges eae cage BOLT AAS O BL 681 ‘T GST 1ST 991 . . ape . . . . wee eee ee ee eee sence ee eee eee weet w tween usages a ech! ee] pea 6 [98 | 8479 (Ea CAR 2, a PST ie SS a eae i aL eee "iririttttsts*5 = pe9s Wl0o-U00Ig, ww j ; : GE SLE IL’€ 6F % 98 “T vo 'T Aap ‘djnd jo0g 808 'T 002 80P ‘T O8T £1°6 1¢°8 082 80°9 18°F ¢9'S Sh’ oraieusinse ounie isyaa\e ming Riule.=\e' rigis7'ie > seis Bane eesinie iS ee sane eae LEST P dai *(soqerpAyoqieo -euorj10doid pure) 23 : Ule}O1d JO SJUNOUT Ie]TOUIS SUTUTEIMOD [BOUL P9ESTO}409 Jo 109 10d son[eA A Te Meg ee POS OFZ 00 ‘0r$ 00 “SEs 00 0E$ 00 “S2$ 00 '0z$ 00 “ST$ ‘org SoonPU SRR” bake: ke Ser Fe aE d fas 00°0T , U0} Jod [vot P99St10}400 JO ON[VA 3 ‘soqverpAy | . a ‘soyerpAy | S°1ePAT ~O0I20 Menor =) a PT | ate 4 ssoox Tenor? H | -Jodos AOC ON. —9]q19S031p m0} lod spunog —H ; re spoof aynuphiyoqwoo ur agnuphyoquve a7qusabrp fo punod 7 fo 7800 anr4njad ay) 2UIULa}Ap OF, —' A ATAV], Se 6 aS OR ee a SS Regie as 3 ; ns es 5 CALCULATING ECONOMICAL BALANCED RATIONS. 15 The first seven columns of figures in Table V give the value of the protein and proportional carbohydrate in a ton of the various carbohydrate feeds when the price of cottonseed meal is as shown in the column headings. When the value of cottonseed meal varies from that given in the column headings the value of protein and proportional carbohydrate can be made to correspond by increasing the figures in one of the columns a proportional amount. For in- stance, when cottonseed meal is worth $12 per ton the figures in column headed $10 should be increased by +, or 20 per cent. To illustrate the method of arriving at the cost of a pound of excess carbohydrate let us assume that choice cottonseed meal is $35 and dried beet pulp $15 per ton. In the column headed ‘‘ $35.00” we find that when cottonseed meal is $35, the protein and propor- tional carbohydrate in a ton of dried beet pulp are worth $4.35. The excess carbohydrate in a ton of beet pulp thus costs $15 — $4.35 = $10.65. Since there are 1,238 pounds of this excess carbohydrate, a single pound costs $10.65+1,238=0.86 cents. A few additional problems will show the ease seth which computations may be made by use of this table. Problem 1.—Choice cottonseed meal is available at $35 per ton. Sorghum grain can be bought at $20, rough price at $28, and shelled corn at $30.35, or 85 cents per bushel. Which is the cheapest source of carbohydrate? Solution: Sorghum Shelled Rough grain. corn. rice. $20. 00 $30. 35 $28. 00 2 fe d@ 16.53 14,45 ? 1273) 12.90 2 1B84)yu2a48e 2/1263) 23:50 0.0101 0.0172 0.0186 Problem 2.—Given cottonseed meal at $30 per ton and shelled corn at 95 cents per bushel, what is the value per ton of barley, oats, and rye for balancing a cottonseed meal ration ? Solution: $33.92 (Value of ton of corn at 95 cents per bushel. See Table TIT.) 5.59 (See Table V, column headed $30, opposite corn, shelled.) 1384) 28.33 (For 1384, see last column Table V, opposite corn, shelled.) 0.0204 (Value of a pound of excess carbohydrates in corn.) Barley: A ton of barley contains 1,208 pounds of excess carbo- hydrates, which, at 2.04 cents per pound, is worth $24.642 The protein and the remaining carbohydrates are worth $7.30. (See Table V, column headed “$30.00,’’ opposite barley.) Hence, 1 See column headed “$35.00”? (Table V). These figures represent the value of the protein and propor- tional carbohydrate in a ton of these feeds when cottonseed meal is worth $35 per ton. 2 See last column, Table V. 3 It is assumed that a pound of excess digestible carbohydrate has the same value regardless of the feed » which supplies it. When cottonseed meal is worth $30and corn 95 cents, a pound of excess carbohydrate has a value of 2.04 cents. This figure is used for determining the value of the excess carbohydrate in oats andrye. The value of the remaining carbohydrate content and the protein in these feeds is taken from Table V. ~ 16 BULLETIN 637, U. S. DEPARTMENT OF AGRICULTURE. under the conditions named, a ton of barley is worth $24.64 +$7.30= $31.94. In a like manner the value of a ton of oats and rye are ob- tained: Oats: 9980. 0204=$20. 36 7.86 28.22 (Value of a ton of oats.) Rye: 12020. 0204= 24.52 §. 02 32.54 (Value of a ton of rye.) The value of each of these grains per bushel is now easily found from Table IIT to be as follows: Barley, 77 cents; oats, 45 cents; rye, 91 cents. HOW TO USE TABLE V. Given a certain number of carbohydrate feeds with the local selling prices per ton, to determine the relative cost of excess carbohydrate per pound, proceed as follows: (1) In columns headed ‘‘ Value of cottonseed meal’’ select the one corresponding most nearly to the local market price of that feed. (2) In that column take the amount found opposite the name of the feed in question and subtract it from the local selling price of that feed. The difference represents the cost of the excess carbohydrate. (3) In the last column opposite the name of the feed is given the amount of excess carbohydrate in a ton. Divide the value obtained above by this amount and the result is the cost of a pound of excess carbohydrate when bought in the feed considered. In many sections of the West and Southwest alfalfa hay is the basic feeding stuff. It is distinctly nitrogenous in character, and it is often desirable to buy carbonaceous feeding stuffs to balance the ration. The method of procedure is the same as that already given in con- nection with Table V. As seen in Table VI, a ton of alfalfa hay contains 212 pounds! of digestible protein and 820 pounds! of digestible carbohydrates, or 3.868 pounds of carbohydrates for each pound of protein. Hereafter in the discussion of this table this 3.868 pounds of carbohydrates to each pound of protéin is referred to as ‘‘proportional carbohydrates.” Itis the proportion of carbohydrates accompanying protein in alfalfa hay. A ton of barley contains 180 pounds of protein, and 1408 pounds of carbohydrates. Now, in alfalfa hay, 180 pounds of protein would be accompanied by 696 pounds of carbohydrates (180 x 3.868 =696). The nutrients in a ton of barley may thus be classified as follows: Pounds. Protein 180 pounds, proportional carbohydrates. -.......-.------..----------+-- + 696 excess carbohydrates. 522 3.524. ae oe 1712 Total carbolty drives 2°26 FaB Re ie Se ei eens ek ae sae 11,408 1 See Table VI, last four columns opposite names of feeds in question, for the distribution of the nutrients in a ton of each. i a CALCULATING ECONOMICAL BALANCED RATIONS. Vi. The proportional carbohydrate in barley, for instance, which is 696 pounds, merely represents the carbohydrates obtained in alfalfa hay along with 180 pounds of protein, which is the amount of the latter contained in a ton of barley. As previously stated, the method here outlined is baal on the assumption that the “raver and “‘proportional carbohydrates” in a ton of any expensive carbohydrate feed are worth just what they would cost in the cheap protein feed used as a basis of comparison (alfalfa hay in Table VI). The first 10 columns of figures in Table VI give the value of the protein and the proportional carbohydrates in a ton of the various carbohydrate feeds when the price of alfalfa hay is as shown in the column headings. Other figures to correspond to a different value of alfalfa hay may be easily obtained either by combining the figures of two columns in Table VI or by increasing those of one column by a proportional part of those in another column. For instance, when alfalfa is worth $7, increase the figures found in column headed “$6.00” by one-fourth of those found in column headed ‘‘$4.00” to get figures corresponding to alfalfa at $7. To illustrate the method of arriving at the cost of a pound of excess protein let us assume that alfalfa hay is $10 per ton and barley is available at $22.88 a ton or 55 cents a bushel. In the column headed ‘*¢10.00” we find that when alfalfa is $10 per ton the protein and the proportional carbohydrate in a ton of barley is worth $8.49. The excess carbohydrate in a ton of barley thus costs $22.88 —$8.49 = $14.39. Since there are 712 pounds of excess carbohydrate, a single pound costs $14.39 + 712 = $0.0202, or 2.02 cents. The use of Table VI is further illustrated in the following problem: Alfalfa hay is available at $12, shelled corn at $25, barley at $23, and milo grain at $24 a ton. Which of the three grains is cheapest as a source of carbohydrates for balancing an alfalfa ration ? Solution: Corn. Barley. Milo. $20.00 $23.00 $24.00 fpr 110.19 19.85 21004) 17.19 2712) - 1281 2751) 14.15 020171 3 0.0180 3 0.01884 In this case, corn is the cheapest source of carbohydrates. HOW TO USE TABLE VI. Follow the directions given for the use of Table V. 1 Table VI, column’ headed ‘$12.00,’ opposite corn, barley and milo. These figures represent the value of the protein and proportional carbohydrate in a ton of the feeds in question. _ 2Table VI, last column. 3 Value of a pound of excess carbohydrates. 18 BULLETIN 637, U. S. 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AVAILABLE FOR FREE DISTRIBUTION BY THE DEPARTMENT. Raising and Fattening Beef Calves in Alabama. (Department Bulletin 73.) Economical Cattle Feeding in the Corn Belt. (Farmers’ Bulletin 588.) The Feeding of Dairy Cows. (Farmers’ Bulletin 748.) Feeding and Management of Dairy Calves and Young Dairy Stock. (Farmers’ Bulle- tin 777.) Equipment for Farm Sheep Raising. (Farmers’ Bulletin 810.) How Live Stock is Handled in the Bluegrass Region of Kentucky. (Farmers’ Bulle- tin 812.) Farm Sheep Raising for Bester (Farmers’ Bulletin 840.) Utilization of Farm Wastes in Feeding Live Stock. (Farmers’ Bulletin 873.) Swine Management. (Farmers’ Bulletin 874.) FOR SALE BY THE SUPERINTENDENT OF DOCUMENTS, GOVERNMENT PRINTING OFFICE, WASHINGTON, D. C. Cost of Raising a Dairy Cow. (Department Bulletin 49.) Price, 5 cents. Fattening Cattle in Alabama. (Department Bulletin 110.) Price, 5 cents. Use of Energy Values in the Computation of Rations for Farm Animals. (Department Bulletin 459.) Price, 5 cents. Study in Cost of Producing Milk on Dairy Farms in Wisconsin, Michigan, Pennsylva- nia, and North Carolina. (Department Bulletin 501.) Price, 5 cents. Feeding Farm Animals. (Farmers’ Bulletin 22.) Price, 5 cents. Principles of Horse Feeding. (Farmers’ Bulletin 170.) Price, 5 cents. Pig Management. (Farmers’ Bulletin 205.) Price, 5 cents. Crimson Clover, Utilization. (Farmers’ Bulletin 579.) Price, 5 cents. Feeding for Meat Production. (Bureau of Animal Industry Bulletin 108.) Price, 10 cents. ; Beef Production in Alabama, 1. Cost of Raising Cattle. 2. Wintering Steers Pre- paratory to Summer Fattening on Pasture. 3. Fattening Cattle on Pasture. (Bu- reau of Animal Industry Bulletin 131.) Price, 10 cents. Nutritive Value of Non-protein of Feeding Stuffs. (Bureau of Animal Industry Bul- tin 139.) Price, 10 cents. Maintenance Rations of Farm Animals. (Bureau of Animal Industry Bulletin 143.) Price, 15 cents. Feeding Beef Cattle in Alabama, 1. Winter Fattening on Cottonseed Meal, Cottonseed Hulls, Corn Silage, and Johnson Grass Hay. 2. Wintering Steers Followed by Summer Fattening on Pasture. 3. Value of Shelter for Fattening Cattle in Ala- bama. 4. Early Compared with Late Fattening of Steers on Pasture. (Bureau of Animal Industry Bulletin 159.) Price, 10 cents. Meat Situation in the United States. Part IV. Utilization and Efficiency of Avail- able American Feed Stuffs. (Report 112.) Price, 5 cents. = 19 ADDITIONAL COPIES OF THIS PUBLICATION MAY BE PROCURED FROM THE SUPERINTENDENT OF DOCUMENTS GOVERNMENT PRINTING OFFICE WASHINGTON, D.C. AT 5 CENTS PER COPY V ee AIBC a igen <. TOUTES C3 f peek 4 nee pies afT2 ie : ite sian cee signe: ses ie ih ey axinadtobs a on) ee ie ier , AEE IOD) : FAROE rages: 4 ae a BONY 62 NOKE Sa Bae sino eR = wer aS 2oeF 46. Relea iar . WOU Rn AE CITI Oo WO ge) 8 Me ad hess yy oun nay . 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