The Butterfield Company makes a variety of knives. Each knife is processed on four machines. The processing times required are as follows. Machine capacities (in hours) are 1,500 for machine 1; 1,400 for machine 2; 1.600 for machine 3; and 1,500 for machine 4.

Each product contains a different amount of two basic raw materials. Raw material 1 costs $0.50 per ounce, and raw material 2 costs $1.50 per ounce, there are 75,000 ounces of raw material 1 and 100,000 ounces of raw material 2 available.

a. If the objective is to maximize profit specify the objective function and constraints for the problem. Assume that labor costs are negligible.
b. Solve the problem with a computerpackage.

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Processing Time (hr) Knife Machine 1 Machine 2 Machine 3 Machine 4 A 0.05 10 05 0.05 .150100.050.05 C 0.20 0.050.10 0.20 0.100.10 0.15 0.10 E0.050.10010 005 Requirements (oz/unit) Knife Raw Material 1 Raw Material 2 Selling Price (S/unit) 15.00 25.50 14.00 19.50 27.00 10