Hercules Company produces three grades of steel: high, good, and regular grade. Each of these products (grades) has high demand in the market, and Hercules is able to sell as much as it can produce of all three. The furnace operation is a bottleneck in the process and is running at 100% of capacity. Hercules wants to improve steel operation profitability. The variable conversion cost is $10 per process hour. The fixed cost is $513,000. In addition, the cost analyst was able to determine the following information about the three products: High Grade Good Grade Regular Grade Budgeted units produced 3,000 3,000 3,000 Total process hours per unit 15 13 10 Furnace hours per unit Unit selling price $299 $247 $264 Direct materials cost per unit $113 $105 $99 The furnace operation is part of the total process for each of these three products. Thus, for example, 4 of the 15 hours required to process High Grade steel are associated with the furnace. 1. Determine the unit contribution margin for each product. If required, round your answers to two decimal places. Contribution Margin Per Unit High Grade $ 166 x Good Grade %$4 142 x Regular Grade %$4 165 X

Hercules Company produces three grades of steel: high, good, and regular grade. Each of these products (grades) has high demand in the market, and Hercules is able to sell as much as it can produce of all three. The furnace operation is a bottleneck in the process and is running at 100% of capacity. Hercules wants to improve steel operation profitability. The variable conversion cost is $10 per process hour. The fixed cost is $513,000. In addition, the cost analyst was able to determine the following information about the three products: High Grade Good Grade Regular Grade Budgeted units produced 3,000 3,000 3,000 Total process hours per unit 15 13 10 Furnace hours per unit Unit selling price $299 $247 $264 Direct materials cost per unit $113 $105 $99 The furnace operation is part of the total process for each of these three products. Thus, for example, 4 of the 15 hours required to process High Grade steel are associated with the furnace. 1. Determine the unit contribution margin for each product. If required, round your answers to two decimal places. Contribution Margin Per Unit High Grade $ 166 x Good Grade %$4 142 x Regular Grade %$4 165 X

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

Chapter13: Nonlinear Optimization Models

Section: Chapter Questions

Problem 4P: The profit function for two products is: Profit3x12+42x13x22+48x2+700, where x1 represents units of...

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Complete the table below for contribution margin per unit, total contribution margin, and contribution margin ratio: E (Click the icon to view the table.) Compute the missing information, starting with scenario A, then for scenarios B and C. (Enter the contribution margin ratio to nearest percent, X%.) A Number of units 1,510 units Sale price per unit $ 1,600 Variable costs per unit 1, 120 Calculate: Contribution margin per unit Total contribution margin Contribution margin ratio Data Table A Number of units 1,510 units 14,390 units 2,450 units Sale price per unit 1,600 $ 4.400 5,000 Variable costs per unit 1,120 880 3,750 Calculate: Contribution margin per unit Total contribution margin Contribution margin ratio Print Done Enter any number in the edit fields and then click Check Answer. parts remaining Clear All Final Check
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.
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