operationsas follows:Martha Manufacturing makes three products. Each product requires manufacturingin three departments: A, B, and C. The labor-hour requirements, by department, areDepartmentABCMaxproductionProduct 13.002.750.4570Product 22.52.200.75100Product 33.201.100.5080During the next production period, the labor-hours available are 550 in department A, 450 indepartment B, and 110 in department C. The profit contributions per unit are $25 for product1,$28 for product 2, and $30 for product 3. Setup costs are $400 for product 1, $550 for product 2,and $600 for product 3.a) Formulate a linear programming model for maximizing total profit contribution.b) Solve the linear program formulated in part (a). How much of each product should beproduced, and what is the projected total profit contribution?

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Answered: Martha Manufacturing makes three…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 111P

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Martha Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows: