From the Images provided, I need part (e) solved. 8ⒸHE?CENGAGE MINDTAPChapter 13 Assignment1.2.3.4.5.●●●•●DepartmentABCсHart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are asfollows:Maxs.t.(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 P₁ = units of product i produced$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 product1, $28 for product 2, and $30 for product 3.25 P₁1.5Product 11.502.000.252+P1 $✓P₁ +ⒸP1 +ⒸP₁ +Amount to Produce2860Product 23.001.000.253✓P₂P2 $+✔P21 P₂0.25 P₂+++Product 32.002.500.258030 P322.5P30.25 P3 SP3 S0.25P1, P2, P3 ≥ 0 and integer(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 1Product 2Product 360SS45035050Q Search this courseX✔Check My WorkProfit $ 5540(c) After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costsare $550 for product 1, $400 for product 2, and $600 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution after taking into accountthe setup costs?$3990 ✔A-ZCewÐ •8ⒸHE?CENGAGE MINDTAPChapter 13 Assignment1, ², 3 = u and inteyen(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 1Product 2Product 3Amount to ProduceMaxs.t.Profit $5540(c) After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costsare $550 for product 1, $400 for product 2, and $600 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution after taking into accountthe setup costs?♡$$3990(d) Management realized that the optimal product mix, taking setup costs into account, might be different from the one recommended in part (b). Formulate a mixed-integer linearprogram that takes setup costs provided in part (c) into account. Management also stated that we should not consider making more than 175 units of product 1, 150 units ofproduct 2, or 140 units of product 3. What are the new objective function and additional equation constraints?If the constant is "1" it must be entered in the box.Let Yi is one if any quantity of product i is produced and zero otherwise.✔P₁25111P1 SP₂ S60+Amount to ProduceUpdated Profit $ 442680$02860+60✔$30 P3 $ 55030175150 Y₂140 Y3P3 SP1, P2, P3 ≥ 0 and integer(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 profitcontribution to that obtained in part (c).If required, round your answers to nearest whole number. If your answer is zero enter "0".Product 1 Product 2 Product 3$400Q Search this course600Y3XA-ZOffice«

Question

From the Images provided, I need part (e) solved. 8ⒸHE?CENGAGE MINDTAPChapter 13 Assignment1.2.3.4.5.●●●•●DepartmentABCсHart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are asfollows:Maxs.t.(a) Formulate a linear programming model for maximizing total profit contribution.If the constant is &#34;1&#34; it must be entered in the box. If required, round your answers to two decimal places.Let P₁ = units of product i produced$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 product1, $28 for product 2, and $30 for product 3.25 P₁1.5Product 11.502.000.252+P1 $✓P₁ +ⒸP1 +ⒸP₁ +Amount to Produce2860Product 23.001.000.253✓P₂P2 $+✔P21 P₂0.25 P₂+++Product 32.002.500.258030 P322.5P30.25 P3 SP3 S0.25P1, P2, P3 ≥ 0 and integer(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 1Product 2Product 360SS45035050Q Search this courseX✔Check My WorkProfit $ 5540(c) After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costsare $550 for product 1, $400 for product 2, and $600 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution after taking into accountthe setup costs?$3990 ✔A-ZCewÐ •8ⒸHE?CENGAGE MINDTAPChapter 13 Assignment1, ², 3 = u and inteyen(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 1Product 2Product 3Amount to ProduceMaxs.t.Profit $5540(c) After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costsare $550 for product 1, $400 for product 2, and $600 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution after taking into accountthe setup costs?♡$$3990(d) Management realized that the optimal product mix, taking setup costs into account, might be different from the one recommended in part (b). Formulate a mixed-integer linearprogram that takes setup costs provided in part (c) into account. Management also stated that we should not consider making more than 175 units of product 1, 150 units ofproduct 2, or 140 units of product 3. What are the new objective function and additional equation constraints?If the constant is &#34;1&#34; it must be entered in the box.Let Yi is one if any quantity of product i is produced and zero otherwise.✔P₁25111P1 SP₂ S60+Amount to ProduceUpdated Profit $ 442680$02860+60✔$30 P3 $ 55030175150 Y₂140 Y3P3 SP1, P2, P3 ≥ 0 and integer(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 profitcontribution to that obtained in part (c).If required, round your answers to nearest whole number. If your answer is zero enter &#34;0&#34;.Product 1 Product 2 Product 3$400Q Search this course600Y3XA-ZOffice«

Accepted Answer

Objective Functions and Constraints:
                Based on the given details, the objective…