Question
7. Bill and Andy have run the family farm for over 15 years. They are currently planning the mix of crops to plant on their
7. Bill and Andy have run the family farm for over 15 years. They are currently planning the mix of crops to plant on their 120 acre farm for the upcoming season. The table below gives the labor-hours and fertilizer required per acre, as well as the total expected profit per acre for each of the potential crops under consideration. Andy, Bill and their families can work at most 7,000 total hours during the upcoming season. They have 180 tons of fertilizer available. What mix of crops should be planted to maximize the family's total profit? (12 points)
Crop | Labor required (hours per acre) | Fertilizer required (tons per acre) | Expected profit ($ per acre) |
Oats | 70 | 1.5 | 500 |
Wheat | 60 | 2 | 600 |
Corn | 100 | 3 | 950 |
A. Provide the algebraic formulation for the problem (decision variables, objective statement, and constraints).
B. Formulate and solve the using Excel solver.
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