Please I just need help with E. But use my answers as a reference. I keep posting this question, and every time they're using (25,28, and 30) as in other versions of the problem. This problem uses (27,27, 32) Please read carefully and use the information provided.

(a) Formulate a linear programming model for maximizing total profit contribution. (Let Pi= units of product i produced, for i=1, 2 , 3.) Mas s.t. Department A Department B Department C P1P2,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)=()withprofit$5700. $600 for product 3 . If the solution developed in part (b) is to be used, what is the total profit contribution (in dollars) after taking into account the setup costs? quantity of product i is produced and zero otherwise, for i=1,2,3.) What is the objective function of the mixed-integer linear program? In addition to the constraints from part (a), what other constraints should be added to the mixed-integer linear program? s.t. units of Product 1 produced units of Product 2 produced units of Product 3 produced P1,P2,P30;y1,y2,y3=0,1 (P1,P2,P3,y1,y2,y3)=(withprofit$ (a) Formulate a linear programming model for maximizing total profit contribution. (Let Pi= units of product i produced, for i=1, 2 , 3.) Mas s.t. Department A Department B Department C P1P2,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)=()withprofit$5700. $600 for product 3 . If the solution developed in part (b) is to be used, what is the total profit contribution (in dollars) after taking into account the setup costs? quantity of product i is produced and zero otherwise, for i=1,2,3.) What is the objective function of the mixed-integer linear program? In addition to the constraints from part (a), what other constraints should be added to the mixed-integer linear program? s.t. units of Product 1 produced units of Product 2 produced units of Product 3 produced P1,P2,P30;y1,y2,y3=0,1 (P1,P2,P3,y1,y2,y3)=(withprofit$