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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: Department Product 1 Product 2 Product 3 A 1.0 2.5 1.00 В 1.50 1.75 2.00 C 1.25 0.5 2.5 During the next production period, the labor-hours available are 250 in department A, 350 in department B, and 180 in department C. The profit contributions per unit are $29 for product1, $25 for product 2, and $32 for product 3. a) Formulate a linear programming model for maximizing total profit contribution? b) Solve the linear program formulated in part (a) using excel. How much of each product should be produced, and what is the projected total profit contribution?

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: Department Product 1 Product 2 Product 3 A 1.0 2.5 1.00 В 1.50 1.75 2.00 C 1.25 0.5 2.5 During the next production period, the labor-hours available are 250 in department A, 350 in department B, and 180 in department C. The profit contributions per unit are $29 for product1, $25 for product 2, and $32 for product 3. a) Formulate a linear programming model for maximizing total profit contribution? b) Solve the linear program formulated in part (a) using excel. How much of each product should be produced, and what is the projected total profit contribution?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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: Department Product 1 Product 2 Product 3 A 1.0 2.5 1.00 1.50 1.75 2.00 C 1.25 0.5 2.5 During the next production period, the labor-hours available are 250 in department A, 350 in department B, and 180 in department C. The profit contributions per unit are $29 for product1, $25 for product 2, and $32 for product 3. a) Formulate a linear programming model for maximizing total profit contribution? b) Solve the linear program formulated in part (a) using excel. How much of each product should be produced, and what is the projected total profit contribution?
Transcribed Image Text: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: Department Product 1 Product 2 Product 3 A 1.0 2.5 1.00 1.50 1.75 2.00 C 1.25 0.5 2.5 During the next production period, the labor-hours available are 250 in department A, 350 in department B, and 180 in department C. The profit contributions per unit are $29 for product1, $25 for product 2, and $32 for product 3. a) Formulate a linear programming model for maximizing total profit contribution? b) Solve the linear program formulated in part (a) using excel. How much of each product should be produced, and what is the projected total profit contribution?
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