Question

Formulate linear programming model

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:


Department.       Product 1.      Product 2.       Product 3.

A                            1.50                3.00                2.00

B                            2.00                1.00                2.50

C                            0.25                 0.25               0.25


During 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, $28 for product 2, and $30 for product 3.


Formulate a linear programming model for maximizing total profit contribution.


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