Answer:
Step-by-step explanation:
Obtaining the decision variables, constraints and objective functions, we have:
A. Decision Variables in the problem:
Ls = amount of area allocated for soyabean
Ac = amount of area allocated for corn
Ao = amount of area allocated for oat
Nc = number of cows purchased
Nh = number of hens purchased
E = Excess person-hours in the summer
B. Constraints in the following linear programming model:
As + Ac + Ao + 1.5Nc = 125 acres
1200Nc + 9Nh = 40000
Nc = 32, Nh = 3000
Labor limitation for winters,
20As + 35Ac + 10Ao + 100Nc + 0.6Nh + W = 3500
Labor limitation for summers,
50As + 75Ac + 40Ao + 150Nc + 0.9Nh + S = 4000
Now, the objective function that we need to maximize:
Objective Function, Z = 500As + 750Ac + 350Ao + 1000Nc + 5Hh + 5W + 6S
