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Due to erratic sales of its sole product-a high-capacity battery for laptop computers-PEM, Inc., has been experiencing financ

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Answer #1

Original Data:

Selling Price per unit = $20.00

Variable Cost per unit = Variable Expenses / Number of units sold
Variable Cost per unit = $135,000 / 13,500
Variable Cost per unit = $10.00

Contribution Margin per unit = Selling Price per unit - Variable Cost per unit
Contribution Margin per unit = $20.00 - $10.00
Contribution Margin per unit = $10.00

Answer 1.

Contribution Margin Ratio = Contribution Margin per unit / Selling Price per unit
Contribution Margin Ratio = $10.00 / $20.00
Contribution Margin Ratio = 50%

Breakeven Point in unit sales = Fixed Expenses / Contribution Margin per unit
Breakeven Point in unit sales = $150,000 / $10.00
Breakeven Point in unit sales = 15,000

Breakeven Point in dollar sales = Fixed Expenses / Contribution Margin Ratio
Breakeven Point in dollar sales = $150,000 / 0.50
Breakeven Point in dollar sales = $300,000

Answer 2.

Increase in Sales = $89,000
Increase in Fixed Expenses = $6,100

Increase in Net Operating Income = Increase in Sales * Contribution Margin Ratio - Increase in Fixed Expenses
Increase in Net Operating Income = $89,000 * 0.50 - $6,100
Increase in Net Operating Income = $38,400

Answer 3.

Selling Price per unit = $20.00 - 10% * $20.00
Selling Price per unit = $18.00

Fixed Expenses = $150,000 + $37,000
Fixed Expenses = $187,000

Number of units sold = 2 * 13,500
Number of units sold = 27,000

Net Operating Income (Loss) = Number of units sold * (Selling Price per unit - Variable Cost per unit) - Fixed Expenses
Net Operating Income (Loss) = 27,000 * ($18.00 - $10.00) - $187,000
Net Operating Income (Loss) = $29,000

Answer 4.

Variable Cost per unit = $10.00 + $0.60
Variable Cost per unit = $10.60

Contribution Margin per unit = Selling Price per unit - Variable Cost per unit
Contribution Margin per unit = $20.00 - $10.60
Contribution Margin per unit = $9.40

Required Unit Sales = (Fixed Expenses + Target Profit) / Contribution Margin per unit
Required Unit Sales = ($150,000 + $4,200) / $9.40
Required Unit Sales = 16,404

Answer 5-a.

Variable Cost per unit = $10.00 - $3.00
Variable Cost per unit = $7.00

Fixed Expenses = $150,000 + $56,000
Fixed Expenses = $206,000

Contribution Margin per unit = Selling Price per unit - Variable Cost per unit
Contribution Margin per unit = $20.00 - $7.00
Contribution Margin per unit = $13.00

Contribution Margin Ratio = Contribution Margin per unit / Selling Price per unit
Contribution Margin Ratio = $13.00 / $20.00
Contribution Margin Ratio = 65%

Breakeven Point in unit sales = Fixed Expenses / Contribution Margin per unit
Breakeven Point in unit sales = $206,000 / $13.00
Breakeven Point in unit sales = 15,846

Breakeven Point in dollar sales = Fixed Expenses / Contribution Margin Ratio
Breakeven Point in dollar sales = $206,000 / 0.65
Breakeven Point in dollar sales = $316,923

Answer 5-b.

PEM, Inc. Contribution Income Statement Not Automated Automated Total Per Unit % Total Per Unit $ 406,000 $ 20.00 100.00% $ 4

Answer 5-c.

Yes, company should automate its operations

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