A manufacturer produces two types of models M, and My. Each M, model requires 4 hours...

 

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A manufacturer produces two types of models M, and My. Each M, model requires 4 hours of grinding and 2 hours of polishing ; whereas each M, model requires 2 hours of grinding and 5 hours of polishing. The manufacturer has 2 grinders and 3 polishers. Each grinder works for 40 hours a week and each polisher works for 60 hours a week. Profit an. on an M, model is Rs. 3 and on an M, model is Rs. 4. Whatever is pruduced in a week is sold in the market. HIow should the manufacturer allocate his production capacity to the two types of models so that he may make the maximum profit in a week. A manufacturer produces two types of models M, and My. Each M, model requires 4 hours of grinding and 2 hours of polishing ; whereas each M, model requires 2 hours of grinding and 5 hours of polishing. The manufacturer has 2 grinders and 3 polishers. Each grinder works for 40 hours a week and each polisher works for 60 hours a week. Profit an. on an M, model is Rs. 3 and on an M, model is Rs. 4. Whatever is pruduced in a week is sold in the market. HIow should the manufacturer allocate his production capacity to the two types of models so that he may make the maximum profit in a week.

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Step1 Write down the decision variables of the problem Step2 Formulate the objective function to be optimized maximized or minimized as a linear funct... View the full answer