Cordova manufactures three types of stained glass windows, cleverly named Products A, B, and C. Information about these products follows: Sales price Variable costs per unit Fixed costs per unit Required number of labor hours Product A $ 51.00 Product B $ 61.00 Product C $ 91.00 17.00 7.00 2.00 11.00 7.00 2.50 25.00 7.00 4.00 Cordova currently is limited to 60,000 labor hours per month. Cordova's marketing department has determined the following demand for its products: Product A 16,000 units Product B Product c Required: 10,000 units 6,000 units Given the company's limited resource and expected demand, compute how many units of each product Cordova should produce to maximize its profit. Note: Enter the products in the sequence of their preferences; the product with first preference should be entered first. Round your answers to the nearest whole number. Product Units Produced

Cordova manufactures three types of stained glass windows, cleverly named Products A, B, and C. Information about these products follows: Sales price Variable costs per unit Fixed costs per unit Required number of labor hours Product A $ 51.00 Product B $ 61.00 Product C $ 91.00 17.00 7.00 2.00 11.00 7.00 2.50 25.00 7.00 4.00 Cordova currently is limited to 60,000 labor hours per month. Cordova's marketing department has determined the following demand for its products: Product A 16,000 units Product B Product c Required: 10,000 units 6,000 units Given the company's limited resource and expected demand, compute how many units of each product Cordova should produce to maximize its profit. Note: Enter the products in the sequence of their preferences; the product with first preference should be entered first. Round your answers to the nearest whole number. Product Units Produced

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter12: Integer Linear Optimization_models

Section: Chapter Questions

Problem 6P: Hart Manufacturing makes three products. Each product requires manufacturing operations in three...

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Cordova manufactures three types of stained glass windows, cleverly named Products A, B, and C. Information about these products follows: Sales price Variable costs per unit Fixed costs per unit Required number of labor hours Product A $ 47.00 22.70 9.00 1.50 14,000 units 9,000 units 10,000 units Product B $ 57.00 12.00 9.00 2.50 Product C $ 87.00 38.70 9.00 3.00 Cordova currently is limited to 58,500 labor hours per month. Cordova's marketing department has determined the following demand for its products: Product A Product B Product C Required: Given the company's limited resource and expected demand, compute how many units of each product Cordova should produce to maximize its profit. Note: Enter the products in the sequence of their preferences; the product with first preference should be entered first. Round your answers to the nearest whole number. Product Units Produced
Cordova manufactures three types of stained glass windows, cleverly named Products A, B, and C. Information about these products follows: Sales price Variable costs per unit Fixed costs per unit Required number of labor hours. Product A $ 53.00 Product B $ 63.00 Product C $ 93.00 10.50 26.20 9.00 2.50 9.00 4.00 18.20 9.00 2.00 Cordova currently is limited to 60,000 labor hours per month. Cordova's marketing department has determined the following demand for its products: Product A Product B Product C Required: 11,000 units 10,000 units 6,000 units Given the company's limited resource and expected demand, compute how many units of each product Cordova should produce to maximize its profit. Note: Enter the products in the sequence of their preferences; the product with first preference should be entered first. Round your answers to the nearest whole number. Product Units Produced
Cordova manufactures three types of stained glass windows, cleverly named Products A, B, and C. Information about these products follows: Sales price Variable costs per unit Fixed costs per unit Required number of labor hours Product A $ 42.00 Product B $ 52.00 Product C $ 82.00 13.25 35.20 4.00 2.50 4.00 3.00 19.20 4.00 1.50 Cordova currently is limited to 45,000 labor hours per month. Cordova's marketing department has determined the following demand. for its products: Product A 16,000 units Product B Product C Required: 7,000 units 5,000 units Given the company's limited resource and expected demand, compute how many units of each product Cordova should produce to maximize its profit. Note: Enter the products in the sequence of their preferences; the product with first preference should be entered first. Round your answers to the nearest whole number. Product C B A Units Produced
Wrappers Tape makes two products: Simple and Removable. It estimates it will produce 369,991 units of Simple and 146,100 of Removable, and the overhead for each of its cost pools is as follows: It has also estimated the activities for each cost driver as follows: Â How much is the overhead allocated to each unit of Simple and Removable?
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).
Cordova manufactures three types of stained glass window, cleverly named Products A, B, and C. Information about these products follows: Product A Product B Product C Sales price $ 47.00 $ 57.00 $ 87.00 Variable costs per unit 22.70 12.00 38.70 Fixed costs per unit 9.00 9.00 9.00 Required number of labor hours 1.50 2.50 3.00 Cordova currently is limited to 58,500 labor hours per month. Cordova’s marketing department has determined the following demand for its products: Product A 14,000 units Product B 9,000 units Product C 10,000 units Required:Given the company’s limited resource and expected demand, compute how many units of each product Cordova should produce to maximize its profit. (Enter the products in the sequence of their preferences; the product with first preference should be entered first. Round your answers to the nearest whole number.) Product Units Produced
Harrington Corporation produces three products, A, B, and C. Pertinent information on these products is as follows: Product Selling Price per Unit Variable Cost per Unit Fixed Costper Unit DL Hoursper Unit A $ 4.00 $ 1.00 $ 2.00 2 B $ 3.50 $ 0.50 $ 2.00 2 C $ 6.00 $ 2.00 $ 3.00 3 The objective function for a linear program to maximize contribution margin from the set of three products is: Multiple Choice Z = $3A + $2.50B + $5C. Z = A + B + C. Z = A + $0.50B + $2C. Z = $3A + $3B + $4C. Z = $4A + $3.50B + $6C.
Cordova manufactures three types of stained glass window, cleverly named Products A, B, and C. Information about these products follows: Product A Product B Product C Sales price $ 52.00 $ 62.00 $ 92.00 Variable costs per unit 17.60 10.75 25.60 Fixed costs per unit 8.00 8.00 8.00 Required number of labor hours 2.00 2.50 4.00 Cordova currently is limited to 60,000 labor hours per month. Cordova’s marketing department has determined the following demand for its products: Product A 10,000 units Product B 10,000 units Product C 6,000 units Required:Given the company’s limited resource and expected demand, compute how many units of each product Cordova should produce to maximize its profit. (Enter the products in the sequence of their preferences; the product with first preference should be entered first. Round your answers to the nearest whole number.) products units produced
Bruce Corporation makes your products in a single facility. These products have the following unit product COSTS. Direct materials Direct labor Variable manufacturing overhead Fixed manufacturing overhead Unit product cost Additional data concerning these products are listed below. Grinding minutes per unit Selling price per unit Variable selling cost per unit Monthly demand in units. Multiple Choice 10,800 9,800 10,500 A $ 19.90 12.20 12,000 1.60 10.80 $44.50 Products B $15.20 8.70 2.10 11.90 $37.90 C D $20.80 $ 23.20 10.50 7.40 2.00 8.80 $42.10 Products A B 1.20 0.70 $59.30 $ 51.70 $ 3.60 $ 1.50 4,000 2,000 The grinding machines are potentially the constraint in the production facility. A total of 9,000 minutes are available per month on these machines. Direct labor is a variable cost in this company. How many minutes of grinding machine time would be required to satisfy demand for all four products? C 0.60 $59.50 $2.20 4,000 2.10 10.70 $43.40 D 0.60 $ 55.60 $ 3.60 2,000
Cost Relationships The following costs are for Optical View Inc., a contact lens manufacturer:Output in Units Fixed Costs Variable Costs Total Costs250 $4,750 $ 7,500 $12,250 300 4,750 9,000 13,750350 4,750 10,500 15,250400 4,750 12,000 16,750Required1. Calculate and graph total costs, total variable cost, and total fixed cost.2. For each level of output calculate the per-unit total cost, per-unit variable cost, and per-unit fixed cost.3. Using the results from requirement 2, graph the per-unit total cost, per-unit variable cost, and per-unitfixed cost, and discuss the behavior of the per-unit costs over the given output levels.
The following costs are for Optical View Incorporated, a contact lens manufacturer: Output in Units Fixed Costs Variable Costs Total Costs 250 $ 4,750 $ 7,500 $ 12,250 300 4,750 9,000 13,750 350 4,750 10,500 15,250 400 4,750 12,000 16,750 For each level of output calculate the per-unit total cost, per-unit variable cost, and per-unit fixed cost. (Round your answers to the nearest whole dollar amount.)
SM3 Koontz Company manufactures a number of products. The standards relating to one of these products are shown below, along with actual cost data for May. Standard Cost per UnitActual Cost per UnitDirect materials:Standard: 1.80 feet at $2.00 per foot$ 3.60Actual: 1.75 feet at $2.20 per foot$ 3.85Direct labor:Standard: 0.90 hours at $20.00 per hour18.00Actual: 0.95 hours at $19.40 per hour18.43Variable overhead:Standard: 0.90 hours at $6.40 per hour5.76Actual: 0.95 hours at $6.00 per hour5.70Total cost per unit$ 27.36$ 27.98Excess of actual cost over standard cost per unit$ 0.62 The production superintendent was pleased when he saw this report and commented: “This $0.62 excess cost is well within the 5 percent limit management has set for acceptable variances. It's obvious that there's not much to worry about with this product." Actual production for the month was 12,500 units. Variable overhead cost is assigned to products on the basis of direct labor-hours. There were no…