Please give me the exact answer and I will definitely rate you like/ thumb up! 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 1Product 2Product 3 1.75 2.50 0.50 3.25 1.50 0.50 2.25 3.00 0.50 During the next production period, the labor-hours available are 500 in department A, 400 in department B, and 100 in department C. The profit contributions per unit are $30 for product 1, $33 for product 2, and $35 for product 3. Use a software package LINGO a. Formulate a linear programming model for maximizing total profit contribution. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300) If constant is 1", it must be entered in the box. Let Punits of product i produced 33 P2+ 35 P Max 2.25 P3s 1.75 P1+ 3.25 P2 1.5 P2+ 0.5 P2+ 500 400 V 100 2.5 P Pi, P2, P3 2 0 30 P 600 | X y21+ 450 X yi+ 650 | Max 3.25 P2+ 1.5 P2 + 0.5 P2 500 400 100 2.5 P1+ 0.5P 0 0 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 contribution? Compare this profit contribution to that obtained in part (c). Enter "O" if your answer is zero. 100 0 Profit $ The profit is increased by $ 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 1Product 2Product 3 1.75 2.50 0.50 3.25 1.50 0.50 2.25 3.00 0.50 During the next production period, the labor-hours available are 500 in department A, 400 in department B, and 100 in department C. The profit contributions per unit are $30 for product 1, $33 for product 2, and $35 for product 3. Use a software package LINGO a. Formulate a linear programming model for maximizing total profit contribution. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300) If constant is 1", it must be entered in the box. Let Punits of product i produced 33 P2+ 35 P Max 2.25 P3s 1.75 P1+ 3.25 P2 1.5 P2+ 0.5 P2+ 500 400 V 100 2.5 P Pi, P2, P3 2 0 30 P 600 | X y21+ 450 X yi+ 650 | Max 3.25 P2+ 1.5 P2 + 0.5 P2 500 400 100 2.5 P1+ 0.5P 0 0 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 contribution? Compare this profit contribution to that obtained in part (c). Enter "O" if your answer is zero. 100 0 Profit $ The profit is increased by $