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.
Type ConCorn Stalker Ordered
Corn meal 20 40 800
Corn bran 20 25 600
Corn feed 20 10 500
Waste 40 25
Cost $100 $300
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.