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Problem 1 - Consider each of the following situations independently. Fill in the blanks with the appropriate information. 1.

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Answer #1

Case 1

Sale Price per Unit = Total Sales / Units Sold

Sale Price per Unit = 360,000 / 20,000

Sale Price = $ 18 per Unit

Variable Costs = $ 9.90

Variable Cost % = Variable Cost per Unit / Sale Price per Unit * 100

Variable Costs % = 9.9 / 18 * 100

Variable Costs % = 55%

Contribution Margin per Unit = Sales Price per Unit - Variable Cost per Unit

Contribution Margin per Unit = 18 - 9.90

Contribution Margin per Unit = $ 8.1

Total Variable Cost for 20,000 Units = 20,000 Units * Variable Cost per Unit

Total Variable Costs = 20,000 * 9.9

Total Variable Costs = $ 198,000

Fixed Costs = Total Sales - Total Variable Costs - Net Income

Fixed Costs = 360,000 - 198,000 - 40,000

Fixed Costs = $ 122,000

Case 2

Total Sales = Units Sold * Sales Price per Unit

Total Sales = 78,000 * $ 62 per Unit

Total Sales = $ 48,36,000

Total Control Margin = Total Fixed Costs + Net Income

Total Contribution Margin = 18,76,543 + 12,66,857

Total Contribution Margin = $ 31,43,400

Contribution Margin per Unit Sold = Total Contribution Margin / Units Sold

Contribution Margin per Unit Sold = 31,43,400 / 78,000

Contribution Margin per Unit Sold = $ 40.30

Variable Cost per Unit = Sales Price per Unit - Contribution Margin per Unit Sold

Variable Cost per Unit = 62 - 40.30

Variable Cost per Unit = $ 21.70

Case 3

Total Contribution Margin = Total Fixed Costs + Net Loss

Total Contribution Margin = 10,50,000 + (172,500)

Total Contribution Margin = $ 877,500

Number of Units Sold = Total Contribution Margin / Contribution Margin per Unit Sold

Number of Units Sold = 877,500 / 195

Number of Units Sold = 4,500 Units

Variable Costs per Unit Sold = Total Variable Costs / Number of Units Sold

Variable Cost per Unit Sold = 247,500 / 4,500

Variable Cost per Unit Sold = $ 55

Sales Price per Unit = Contribution Margin per Unit + Variable Cost per Unit

Sales Price per Unit = 195 + 55

Sales Price per Unit =$ 250 per Unit

Total Sales = 4,500 Units * Sales Price per Unit

Total Sales = 4,500 * $ 250

Total Sales = $ 11,25,000

Contribution Margin Percentage = Total Contribution / Total Sales * 100

Contribution Margin Percentage = 877,500 / 11,25,000 * 100

Contribution Margin Percentage = 78%

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