please answer parts C, D, & 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. (a) Formulate a linear programming model for maximizing total profit contribution. (Let Pi= units of product i produced, for i=1,2,3.) Ma: s.t. Department A 1.5P1+3P2+2P3450 Department B Department C 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)=(60,80,60withprofit$5400 into account the setup costs? x product 3. (Let Pi= units of product i produced and yi be the 01 variable that is one if any quantity of product i is produced and zero otherwise, for i=1,2,3.) What is the objective function of the mixed-integer linear program? Ma: In addition to the constraints from part (a), what other constraints should be added to the mixed-integer linear program? s.t. units of Product 1 produced units of Product 2 produced units of Product 3 produced P1,P2,P30;y1,y2,y3=0,1 (e) Solve the mixed-integer linear program formulated in part (d). How much of each product should be produced, and what is the projected total profit (in dollars) contribution? (P1,P2,P3,y1,y2,y3)=()withprofit$.