A farmer has 500 acres of land and wishes to determine the acreage allocated to the following three crops: wheat, corn, and soybeans. The man-days required, preparation cost, and profit per acre of the three crops are summarized below. Suppose that the maximum number of man-days available are 5000 and that the farmer has $80,000 for preparation.
a. Find an optimal solution.
b. Assuming an 8-hour work day, would it be profitable to the farmer to acquire additional help at $3 per hour? Why or why not?
c. Suppose that the farmer has contracted to deliver at least the equivalent of 120 acres of wheat. Use sensitivity analysis to find a new optimal solution.
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