Can you help me answer each blank.. I dont know the right answer nor do i know how to input it in the blanks. Thank you.

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 s.t. B Department B Department C 1.50 X P, P, P3 20 2.00 0.25 3.00 1.00 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 $28 for product 3. (a) Formulate a linear programming model for maximizing total profit contribution. (Let P; = units of product i produced, for i = 1, 2, 3.) Max 25+ 27 +28 Department A 1.5p +3p2+2p3