The question starts as a typical product mix problem. In the first part of the problem you are asked to obtain the optimal solution without taking setup cost into account.

What is the objective function value of this solution? (no $-sign or comma)

Next, you are given setup costs and maximum demands for the three products. Incorporate this information into your model and answer the following questions:

What is the objective function value for the problem including fixed costs and maximum demands? (no $-sign or comma)

Which (if any) departments had no slack time available? (enter letter(s) separated by spaces)

How many of product 3 was produced?

11. 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 A B Product 1 1.50 2.00 0.25 Product 2 3.00 1.00 0.25 Product 3 2.00 2.50 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