Oscar Corporation produces and sells three products. Unit data concerning each product is shown below. Product X Y Z Selling price $200 $300 $250 Direct labor costs 45 75 60 Other variable costs 110 130 102 The company has 2,000 hours of labor available to build inventory in anticipation of the company's peak season. Management is trying to decide which product should be produced. The direct labor hourly rate is $15. (a) Determine the number of direct labor hours per unit. Product X Product Y hours per unit hours per unit

SmokeCity, Inc., manufactures barbeque smokers. Based on past experience, SmokeCity has found that its total annual overhead costs can be represented by the following formula: Overhead cost = 543,000 + 1.34X, where X equals number of smokers. Last year, SmokeCity produced 20,000 smokers. Actual overhead costs for the year were as expected. Required: 1. What is the driver for the overhead activity? 2. What is the total overhead cost incurred by SmokeCity last year? 3. What is the total fixed overhead cost incurred by SmokeCity last year? 4. What is the total variable overhead cost incurred by SmokeCity last year? 5. What is the overhead cost per unit produced? 6. What is the fixed overhead cost per unit? 7. What is the variable overhead cost per unit? 8. Recalculate Requirements 5, 6, and 7 for the following levels of production: (a) 19,500 units and (b) 21,600 units. (Round your answers to the nearest cent.) Explain this outcome.

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).

Roper Furniture manufactures office furniture and tracks cost data across their process. The following are some of the costs that they incur. Classify these costs as fixed or variable costs, and as product costs or period costs. Wood used to produce desks ($125,00 per desk) Production labor used to produce desks ($15 per hour) Production supervisor salary ($45,000 per year) Depreciation on factory equipment ($60,000 per year) Selling and administrative expenses ($45,000 per year) Rent on corporate office ($44,000 per year) Nails, glue, and other materials required to produce desks (varies per desk) Utilities expenses for production facility Sales staff commission (5% of gross sales)