HIGHLIGHT/BOLD answers please

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 follow5. 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 $24 for product 1,$27 for product 2 , and $29 for product 3. (a) Formulate a linear programming model for maximizing total profit contribution. (Let Pi= units of product / produced, for /=1,2,3. ) Max s.t. Department A 1.5p1+3p2+2p3450 Check which variable(s) should be in your answer. Department B Department C P1,P2,P30 d) Management realized that the optimal product mix, taking setup costs into account, might be different from the one recommended in part (b). Formulate a mixed-integer linear program that takes setup costs into account. Management also stated that we should not consider making more than 140 units of product 1,160 units of product 2, or 175 units of product 3 . (Let P= units of product / produced and y; be the 0 - 1 variable that is one if any quantity of product i is produced and zero otherwise, for i=1,2,3. What is the objective function of the mixed-integer linear program? Max24pP1+27P2+29P3350Y1570Y2600Y3 Check which variable(s) should be in your answer. In addition to the constraints from part (a), what other constraints should be added to the mixed-integer linear program? S.t. units of Product 1 produced units of Product 2 produced units of Product 3 produced P1,P2,P30;1,2,2=0,1 (e) Solve the mixed-integer linear program formulated in part (d). How much of each product should be produced, and what is the projected total profit (in dollars) contribution? (P1,P2,P3,y1,y2,y3)=(withprofit$