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Breakeven Analysis

Breakeven analysis determines the sales volume at which total revenue equals total costs, resulting in zero profit or loss.

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Explanation

The breakeven point in units equals fixed costs divided by the contribution margin per unit. The breakeven point in dollars equals fixed costs divided by the contribution margin ratio. To find units needed for a target profit, add the target profit to fixed costs before dividing by contribution margin per unit. For after-tax target profit, convert to pre-tax by dividing by (1 − tax rate). The margin of safety measures how far actual sales exceed the breakeven point.

Key Points

  • Breakeven units = fixed costs ÷ contribution margin per unit
  • Breakeven dollars = fixed costs ÷ contribution margin ratio
  • Margin of safety = actual sales − breakeven sales

Exam Tip

For target after-tax profit: required units = (fixed costs + target profit ÷ (1 − tax rate)) ÷ contribution margin per unit.

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