An agribusiness company mixes and sells chicken feed to farmers.The costs of the chicken feed ingredients vary throughout the chicken feeding season but the selling price of chicken feed is independent of the ingredients.On August 1,management needs to know how many units of each of three grains (Q,R and S)should be included in their chicken feed in order to produce the product most economically.The cost of each grain is,for a unit of Q,$30;for a unit of R,$37;and for a unit of S,$78.Applying linear programming to this problem,which of the following is the objective function?
A)Minimize Z = 30 Q + 37 R + 78 S
B)Maximize Z = 30 Q + 37 R + 78 S
C)Minimize Z = (Q x R x S)/3
D)Minimize Z = Q + R + S
E)Maximize Z = Q + R + S

Question

Quizplus · Accepted Answer

The objective of the company is to produce the chicken feed most economically, which means minimizing the cost of the ingredients. The cost of each grain is given, and the objective function should include the cost of each grain multiplied by the number of units used. Therefore, the objective function should be Minimize Z = 30 Q + 37 R + 78 S.

An Agribusiness Company Mixes and Sells Chicken Feed to Farmers