Let, X,Y,Z = 1,2,3 Max Z = 25x + 28y + 302 1.5x + By + ZZ = 0 b. Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution? Product 1 Product 2 Product 3 Labour Labour Re I uired Constraint _ Product Limit Units Produced 60 80 60 1 c. After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costs are $400 for product 1, $550 for product 2, and $600 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution after taking into account the setup costs? d. 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 costs into account. Management also stated that we should not consider making more than 175 units of product 1, 150 units of product 2, or 140 units of product 3. e. Solve the mixed-integer linear program formulated in part (d). How much of each product should be produced, and what is the projected total profit contribution? Com pare this profit contribution to that obtained in part (c)