Business, 24.12.2019 22:31 destanybrunson

Hart manufacturing makes three products. each product requires manufacturing operations in three departments: a, b and c. the labor-hour requirements, by department, are:

2 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. a- (10 points) formulate a linear programming model for maximizing total profit contribution. provide the formulation.

and then

- (10 points) management realized that the optimal product mix, taking setup costs into account, might be different from the one recommended in part (b). formulate a mixed integer linear program that takes setup cost into account. management has also stated that we should not consider making more than 175 units of product 1, 150 of product 2, or 140 units of product 3. provide the formulation. setup costs are $400 for product 1, $550 for product 2, and $600 for product 3

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