optimization 4.5 Exercises Exercise 4.1. A production company produces two types of mod- els: M1 and M2. Each M model requires 4 hours of grinding and 2 hours of polishing; whereas, each M2 model...

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Extracted text: optimization 4.5 Exercises Exercise 4.1. A production company produces two types of mod- els: M1 and M2. Each M model requires 4 hours of grinding and 2 hours of polishing; whereas, each M2 model requires 2 hours of grinding and 5 hours of polishing. The company has 2 grinders and 3 polishers. Each grinder works for 40 hours per week and each polisher works for 60 hours per week. Profit on an M1 model is $3 and on an M2 model is $4. Whatever produced in a week is sold in the market. How should the production company allocate his production capacity to the two types of models so that he may make maximum profit in a week.