Hart 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.Maxs.t.Department Product 1 Product 2 Product 3ABсDepartment ADepartment B$Department CP1, P2, P3 201.502.000.253.00During the next production period, the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $25 for product 1, $27 for product 2, and $28 for product 3.(a) Formulate a linear programming model for maximizing total profit contribution. (Let P; = units of product i produced, for i = 1, 2, 3.)1.000.252.002.50with profit $0.25(b) Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution (in dollars)?(P1, P2, P3) =(c) After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costs are $400 for product 1, $590 for product 2, and $610 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution (in dollars) aftertaking into account the setup costs?

Linear programming is a mathematical technique that is also used in operations management…

(a) Formulate a linear programming model for maximizing total profit contribution. (Let P, units of product/produced, for/= 1, 2, 3.) Max s.t. Department A Department B Department C P1 P₂ P3 20 (b) Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution (in dollars)? with profit s (c) After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costs are $400 for product 1, $590 for product 2, and $610 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution (in doll taking into account the setup costs? $

(a) Formulate a linear programming model for maximizing total profit contribution. (Let P, units of product/produced, for/= 1, 2, 3.) Max s.t. Department A Department B Department C P1 P₂ P3 20 (b) Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution (in dollars)? with profit s (c) After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costs are $400 for product 1, $590 for product 2, and $610 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution (in doll taking into account the setup costs? $

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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