A farmer has 1000 acres of land on which he can grow corn, wheat, and soybean. The following table lists the cost of preparation for each acre, man-days of work required and profit yielded in $.

Cost ($) Work Days Profit ($)

Corn 100 ╇ 7 30 Wheat 120 10 40 Soyabean ╇ 70 ╇ 8 20 The farmer has $100,000 for preparation and can count on 8000 man-days of work. Develop a linear optimization model use Solver to find an optimal solution.

Interpret the Solver Answer Report and identify the binding constraints and verify the values of the slack variables by substituting the optimal solution into the model constraints.