Just need the answer for D max and part E

(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) = ?? with profit $ ??

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. Department Product 1 Product 2 Product 3 A 1.50 3.00 2.00 B 2.00 1.00 2.50 0.25 0.25 0.25 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 linear programming model for maximizing total profit contribution. (Let P = units of product i produced, for i = 1, 2, 3.) Max 24P1 + 27P, + 29P3 s.t. Department A 1.5P1 +3.00P, + 2.00P3