Qualitative pattern of the optimal solution


Problem: Jake’s Buy Products purchases two unprocessed corn (ConCorn and Stalkers) to produce various products. It has a customer order for 800 pounds of corn meal, 600 pounds of corn bran, and 500 pounds of corn feed. The amount of each product found in each 100 pound of the unprocessed corn and the cost per 100 pounds are given in the table below.

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Determine the amount of each ore that should be purchased if the objective is to:

1) minimize cost

2) minimize waste

In each case, describe the qualitative pattern of the optimal solution. Which constraints are binding and which decision variable is zero.

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