Find the requirements for a mature beef cow at BCS 5 giving moderate milk produc

Question

Find the requirements for a mature beef cow at BCS 5 giving moderate milk production that is in the 5th month since calving.

NEm (Mcal) requirement= 14.0

CP requirement= 2.3

Formulate a ration that meets those requirements using feeds contained in the feedstuff table associated with the requirements.

Please show all work

Dry Matter, Energy, Protein and Phosphorus Content of some Common Feeds Fed to Beef Cattle Ener Dry MatterIntake TDNNEm Crude NEgProteinPhos Max Feed % | Mcal/ll Mcal/lb Matter Basis 48 0.47 0.09 4 10 Corn Stalk/ Wheat Straw Grass Ha Grass/ Legume 85 85 85 1.75 2.0 0.50 0.16 0.53 0.22 13 .20 52 15 Alfalfa Ha Corn Silage Corn Grain Soybean Meal (44% 2.5 3.0 2.0 60 70 0.58 0.30 0.70 0.98 0.64 0.92 0.61 25 23 30 0.70 85 35 85 0.44 90 85 49 Maximum dry matter intake expressed as percent of animals shrunk body weight.

Explanation / Answer

Decision variable: Let

X1 = quantity of Corn Stalk/Wheat Straw to include in the ration

X2 = quantity of Grass Hay to include in the ration

X3 = quantity of Grass/Legume Hay to include in the ration

X4 = quantity of Alfalfa Hay to include in the ration

X5 = quantity of Corn Silage to include in the ration

X6 = quantity of Corn Grain to include in the ration

X7 = quantity of Soybean Meal (44%) to include in the ration

The above quantity is in pounds

Constraints:

0.47X1 + 0.50X2 + 0.53X3 + 0.58X4 + 0.70X5 + 0.98X6 + 0.92X7 >= 14.0 NEm(Mcal) requirement

0.04X1 + 0.08X2 + 0.15X3 + 0.18X4 + 0.08X5 + 0.09X6 + 0.49X7 >= 2.3 CP requirement

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