Need help on c, d, and second part of e.

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. 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 , $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 i produced, for i=1,2,3.) Max Department A Department B 2P1+P2+25P3350 Department C 4P1+4P2+4P350 P1,P2,P30 (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 (in dollars)? (P1,P2,P3)=(1)withprofit$5400 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? Ma 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 P2165y20 units of Product 3 produced P3200y30 P1,P2,P30;y1,y2,y3=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)=1 .) with profit $1