Department Product 1 Product 2 Product 3 < B A 2.00 1.50 3.00 2.50 2.00 1.00 C 0.25 0.25 0.25 (a) Formulate a linear programming model for maximizing total profit contribution. If the constant is "1" it must be entered in the box. If required, round your answers to two decimal places. Let Pi = units of product i produced Max $ s.t. P1 + $ P2 + $ P3 P1 + P2 + P3 - Select your answer P1 + P2 + P3 - Select your answer P1 + P2 + P3 -Select your answer - P1, P2, P3 ≥ 0 (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? Product 1 Product 2 Product 3 Amount to Produce Profit $ $ Մ If the constant is "1" it must be entered in the box. Let Y; is one if any quantity of product i is produced and zero otherwise. Max $ P1 + P2 +$ P3 A s.t. P1 Select your answer Y1 P2 Select your answer Y2 P3 Select your answer Y3 P1, P2, P3 ≥ 0 - Y1 $ Y₂ 10 Y3 If required, round your answers to nearest whole number. If your answer is zero enter "0". Product 1 Product 2 Product 3 Amount to Produce Updated Profit $