Formulate a supplement for cattle so that it contains 41% crude protein (CP) on

Question

Formulate a supplement for cattle so that it contains 41% crude protein (CP) on an as fed (AF) basis. Use soybean meal (45% CP, AF basis) and urea (286% CP, AF basis), and ground corn grain (9% CP, AF basis) as a carrier. To prevent the addition of too much urea (toxic amounts), lock in urea as a fixed ingredient at 10% of the supplement (AF basis). Also, 12% of the supplement as fed should be reserved for minerals (HINT: this is the MSE). What is the % soybean meal (AFB) needed in the supplement for it to contain 41% CP?

Explanation / Answer

Lets say there are x% of sybean meal and y% of urea and z% ground corn grain is putted.

MIneral should be 12% so x + y + z = 88....(i)

y <= 10

so what is x = ?

0.45x + 2.86 y + 0.09z = 41....(ii)

let we take maximum amount of urea y = 10

so that will change equation (i) and (ii)

x+ z = 78

45x + 9z = 1240

x= 269/18 = 14.94 %and z = 1135/18 = 63.05%

so there is around 15% soyabean mimeal needed to supplemented to contain 41% CP.

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