Question: A small fabrication firm makes three basic types of components for use by other companies. Each component is processed on three machines. Total capacities (in

A small fabrication firm makes three basic types of components for use by other companies. Each component is processed on three machines. Total capacities (in hours) are for machines 1; for machine 2; and for machine 3. The processing times are as follows:

A small fabrication firm makes three basic types

A small fabrication firm makes three basic types

A small fabrication firm makes three basic types of components for use by other companies. Each component is processed on three machines. Total capacities (in hours) are 1,600 for machines 1; 1,500 for machine 2; and 1,600 for machine 3. The processing times are as follows: Machine 3 Processing Time (hr) Component Machine 1 Machine 2 A 0.25 0.10 B 0.20 0.15 C 0.10 0.05 0.05 0.10 0.15 Each component contains a different amount of two basic raw materials. Raw material 1 costs $0.20 per ounce, and raw material 2 costs $0.35 per ounce. At present, 204,000 ounces of raw material 1 and 110,000 ounces of raw material 2 are available. Requirements (oz/unit) Component Raw Material 1 Raw Material 2 Selling Price ($/unit) A 32 12 40.00 B 26 16 28.00 19 9 24.00 b. A linear programming software shows the optimal solution as: B = 1,200 and C = 0. What is the optimal value for A? A= 1. (Enter your response rounded to the nearest whole number.)

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