(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.
Chapter6: Optimization Models With Integer Variables
Section6.4: Fixed-cost Models
Problem 18P
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