A small fabrication firm makes three basic types of components for use by other companies. Each component is processed on three machines. The processing times follow. Total capacities (in hours) ate 1,600 for machine 1; 1,400 for machine 2; and 1,500 for machine 3.

Each component contains a different amount of two basic raw materials. Raw material 1 costs $0.20 per ounce, and raw material 2 costs $0.35 per ounce. At present, 200,000 ounces of raw material 1 and 85.000 ounces of raw material 2 are available.

a. Assume that the company must make at least 1,200 units of component B, that labor costs are negligible and that the objective is to maximize profits. Specify the objective function and constraints for the problem.
b. Use a computer package to solve theproblem.

Processing Time (h) Component Machine 1 Machine 2 Machine 3 0.25 0.20 010 0.10 0.15 0,05 0.05 0.10 0.15 Requirement (oz/unit) Component Raw Material Raw Material Selling Price (S/unit) 32 26 19 40 28 24 12 16