(a2) Compute desired ROI per unit. Desired ROI per unit

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: 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 product 1, 28 for product 2, and 30 for product 3. a. Formulate a linear programming model for maximizing total profit contribution. 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? 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 400 for product 1, 550 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 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 3. 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).

A firm has 100,000 in direct materials costs, 50,000 in direct labor costs, and 80,000 in overhead. Which of the following is true? a. Prime costs are 150,000; conversion costs are 180,000. b. Prime costs are 130,000; conversion costs are 150,000. c. Prime costs are 150,000; conversion costs are 130,000. d. Prime costs are 180,000; conversion costs are 150,000.

Identify cost graphs The following cost graphs illustrate various types of cost behavior: For each of the following costs, identify the cost graph that best illustrates its cost behavior as the number of units produced increases: A. Total direct materials cost B. Electricity costs of 1,000 per month plus 0.10 per kilowatt-hour C. Per-unit cost of straight-line depreciation on factory equipment D. Salary of quality control supervisor, 20,000 per month E. Per-unit direct labor cost