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Part A. At the end of year 2019, Company X has to shut down its operations due to unknown reasons. Both products, especially Product A,

Part A.

At the end of year 2019, Company X has to shut down its operations due to unknown reasons. Both products, especially Product A, have to be gone now. An investor decides to invest $2,500,000 to re-open Company X. The investor requests that Company X should continue to produce Product A only, and also asks for a return of 30%. The manufacturing costs information follows costs in Table 1 (therefore, ignore overhead calculations using activity-based costing). Assume the manufacturing overhead costs are variable costs. Annual sales volume for Product A remains 4,000 for future years. The selling and administrative expense follows Table 2, 30% of which is variable and 70% is fixed. If the company decides to follow what the investor suggested, (1) Calculate the variable cost per unit, fixed cost per unit, manufacturing cost per unit, and total cost per unit. (4 points) (2) Calculate the target selling prices and mark-up percentages, using both the total cost-plus and absorption cost-plus methods. (14 points)

Table 1: Company X Unit Manufacturing Costs

Panel A. Labor usage for Product A and Product B

Product A

Product B

Direct labor I hours

3.5

1.5

Direct labor I cost / hour

$20

$20

Direct labor II hours

4

8

Direct labor II cost / hour

$30

$30

Panel B. Manufacturing Costs per unit for Product A and Product B

Product A

Product B

Direct Materials

$650

$250

Direct Labor I

$70

$30

Direct Labor II

$120

$240

Manufacturing Overhead

$100

$200

Manufacturing costs per unit

$940

$720

Table 2. Company X Income Statement 2019

Income Statement
Year Ended Dec. 31, 2019
Product A Product B Total
Sales (4,000 * $1,260 each); (22,000 * $900 each) $5,040,000 $19,800,000 $24,840,000
Less: Cost of Goods Sold ($940*4,000); ($720 * 22,000) ($3,760,000) ($15,840,000) ($19,600,000)
Gross Margin $1,280,000 $3,960,000 $5,240,000
Less: Selling and administrative expenses ($780,000) ($264,000) ($1,044,000)
Net Profit (a) $500,000 $3,696,000 $4,196,000
Units produced and sold (b) 4,000 22,000
Net Profit per unit (a / b) $125 $168

Part B.

Based on the pricing calculations, (1) briefly discuss how the new price compare to the original price of Product A. (2 points) (2) If managers are reluctant to change the original price of Product A. Which desired rate of return on investment can lead to the original price of Product A? Zero point for no calculations. (8 points)

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