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3. T-720 Points] DETAILS ASWMSC115 7.1.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Hart Manufacturing makes the products. Each product requires manufacturing operations in three departments: A, B and C. The tabor-hour requirements, by department, are as follows Department Product 1 Product Products A 1.50 3.00 2.00 0 2.00 1.00 2.10 c 0.35 0.25 0.25 During the next production period, the labor hours available are 450 indepartment A, 350 in department and som department. The probt contribution perintare 24 for product 1, 527 for product 2, and 528 for product 3 (*) Formulate a linear programming model for maximizing total profit contribution (units of product/produced, for/+ 1.2.3.) Max st Department A Department Department PgP, P, 20 (b) solve the linear program formulated in part (a). How much of each product should be products, and what is the projected to al profit contribution in dollar) with profits (c) Alter 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 $350 for product 1, 5530 for product 2 and $590 for product. If the solution developed in part(b) is to be used, wisat is the total profit contribution in dollars) after taking into account the setup costs? $ (d) Management realized that the optimal product mix, taking setup costs into account, might be different from the one recommended in part() Formulate a mixed-integer linear program that takes setup costs into account Management as stated that we should not consider making more than 140 units of product 1, 170 units of product 2, or 200 units of product 3. (Let units of product produced and y be the 0-1 Variable that is one of any quantity of product is produced and are otherwise, for:- 1,2,3) What is the objective function of the mixed-Integer tinear program Max In addition to the constraints from part (), what other constraints should be added to the mixed-Integer linear program S. units of Product 1 produced units of product produced units of Product produced YpYgY= 0,1 (e) solve the mid-teger linear program formulated in How much troch product stood te produced, and what is the projectes o protonda coron? with pots