Please help solve all parts

Chrome File Edit View History Bookmarks Profiles Tab Window Help A Q Wed Nov 30 12:32 PM Mail - Alyssa Cerber - Outlook X G During the next production per x MindTap - Cengage Learning X + C ng.cengage.com/staticb/ui/evo/index.html? deploymentld=5994142219602972702165142995&elSBN=9780357131824&id=1635100815&nold=3195301&snapshotld=3195301& ( * 0 9 : CENGAGE |MINDTAP Q Search this course ? Chapter 13 Homework X 3. O 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: 5. Department Product 1 Product 2 Product 3 A-Z O A 2.00 1.50 3.00 6. 2.50 2.00 1.00 7 O 0.25 0.25 0.25 Office 8. O 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 $30 for product 1, $25 for product 2, and $28 for product 3 (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 $ P1+ $ P2 + $ P3 s.t. P1 P2 - - Select your answer - v P1 + P2 P3 - Select your answer - P1 + P2 + P3 - Select your answer - P1, P2, P3 2 0 and integer At (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 $ (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 costs are $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 account the setup costs? (d) Management realized that the antimal product mix. taking setun costs into account. minht he different from the one recommended in nart (h). Formulate a mixed-intener linear program that takes setun costs provided in calhoun.xIsx Show All X 2 NOV 4 19 22 30chrome File Edit View History Bookmarks Profiles Tab Window Help q :8 u E} '5' Q 2 Wed Nov30 12:32PM a Mall - Alyssa Cerber - Outlook x l 3 During the next production per x .\"o MindTap - Cengage Learning x + v C i ng.cengage.com/staticlnblui/evondexlhtmI?deploymentld=5994142219602972702165142995&e|SBN=9780357131824&id=16351008158mbld=3195301&snapshotld=3195301& [I] fr I] a E 5" CENGAGE I MINDTAP Q Search this course 0 Chapter 13 Homework X $ (:1) 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 linear program 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 of product 2, or 140 units of product at what are the new objective function and additional equation Constraints? 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+ 3 P2 +$ P3'$ V1-s Vz-$ Y3 Sttt P1 - Select your answer - V Y1 P2 - Select your answer - V Y2 P3 - Select your answer - V Y3 P1, P2, P3 2 D and integer (6) SUN? the miXEU'intEQEI' linear program formulated in part (d). How much of each product should be produced and what is the projected total prot contribution? Compare this prot contribution to that obtained in part (c). If required, round your answers to nearest whole numben If your answer is zero enter \"0". Product 1 Product 2 Product 3 Amount to Produce Updated Prot 3 oe- Icon Key Problem 134m Algn (Applications involving Binary Variables) Save I\" calhounxlsx A