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

A small fabrication firm makes three basic types of components for use by the other companies. Each component is processed on three machines. Total capacities (in hours) are 1600 for machines 2, 1400 for machine 2, and 1600 for machine 3. The processing times are as follows:

A small fabrication firm makes three basic types

Processing Time (hr) Component Machine 1 Machine 2 A 0.25 0.10 B 0.20 0.15 C 0.10 0.05 Machine 3 0.05 0.10 0, 15 Each component contains a different amount of two basic raw materials. Raw material 1 costs $0.35 per ounce, and raw materia 2 costs $0.15 per ounce. At present, 188,000 ounces of raw material 1 and 90,000 ounces of raw material 2 are available. Requirements (oz/unit) Component Raw Material 1 Raw Material 2 Selling Price ($/unit) 30 12 41.85 28 16 29.35 20 25.40 9 a. Assume that the company must make at least 1,250 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. Obiective function: Maximize z A + B + C. (Enter your responses rounded to two decimal places.)

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