Hart Manufacturing makes three products. Each product requires manufacturingoperations in three departments: A, B, and C. The labor-hour requirements, by the department, are as

During the next production period, the labor-hours available are 450 in department A, 350 indepartment 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.

Management realized that the optimal product mix, taking setup costs into account, might bedifferent from the one recommended in Question 5. Formulate a mixed-integer linear programthat takes setup costs into account. Management also stated that we should not considermaking more than 175 units of product 1, 150 units of product 2, or 140 units of product 3.