*****Please answer (c), (d), and (e)******

(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 $370 for product 1, $570 for product 2, and $630 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution (in dollars) after taking into account the setup costs? $ 3840 (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 165 units of product 1, 175 units of product 2, or 180 units of product 3. (Let P; = units of product i produced and y; be the 0-1 variable that is one if any quantity of product iis produced and zero otherwise, for i = 1, 2, 3.) What is the objective function of the mixed-Integer linear program? Max 27x, + 29x2 +31x3 390y1 550y- 600y3 x In addition to the constraints from part (a), what other constraints should be added to the mixed-integer linear program? s.t. units of Product 1 produced *1 - 165y;