Scenario presets
Cost & Pricing Inputs
Break-Even & Profit Results
Calculating results...
- Break-even unit volume
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- Break-even revenue ($)
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- Contribution margin per unit
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- Contribution margin ratio (%)
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- Units to reach target profit
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- Revenue to reach target profit
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- Operating profit at projected units
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- Margin of safety (%)
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- Margin of safety ($ & units)
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- Degree of operating leverage (DOL)
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Sensitivity Analysis 1: Price vs. Variable Cost on Break-Even Units
Required unit volume to reach zero operating profit across price and variable cost adjustments.
| Price \ Variable Cost | -20% | -10% | Base | +10% | +20% |
|---|
Sensitivity Analysis 2: Fixed Overhead vs. Target Profit on Required Revenue
Total sales revenue ($) required to cover fixed overhead and hit target net earnings.
| Fixed Costs \ Target Profit | -40% | -20% | Base | +20% | +40% |
|---|
Production Volume Tier Schedule
| Volume Benchmark | Units | Revenue | Total Cost | Operating Profit / (Loss) |
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Formulas and worked example
- Contribution Margin: CM = Price - Variable Cost
- Contribution Margin Ratio: CMR = CM / Price
- Break-Even Units: BEunits = Fixed Costs / CM
- Break-Even Revenue: BE$ = Fixed Costs / CMR
- Target Profit Units: Unitstarget = (Fixed Costs + Target Profit) / CM
- Margin of Safety %: MOS% = (Projected Revenue - Break-Even Revenue) / Projected Revenue
- Operating Leverage: DOL = (Units × CM) / Operating Profit
A cafe sells drinks at $6.50 with $2.20 variable ingredient costs and $15,000 monthly fixed overhead. The unit contribution margin is $4.30 (66.15% CM ratio). Break-even is 3,489 units ($22,674). To earn $5,000 target profit, 4,652 units ($30,233 revenue) are required. At 5,500 projected units, profit is $8,650 with a 36.58% margin of safety and a 2.73x degree of operating leverage.
Self-check quiz
1. The break-even point occurs where:
2. If variable costs per unit decrease while selling price and fixed costs stay the same, the break-even volume will:
3. To calculate the sales volume needed to generate a specific target profit, you add the target profit to:
4. A business with a high degree of operating leverage (DOL):
Frequently asked questions
What is the break-even point in business?
The break-even point is the production or sales volume where total revenue exactly equals total costs (both fixed and variable), generating zero operating profit and zero net loss.
How do you calculate units required to reach a target profit?
Add the desired target operating profit to total fixed costs, then divide by the contribution margin per unit (Price minus Variable Cost).
What is the difference between contribution margin and gross margin?
Contribution margin subtracts all variable costs (both manufacturing and operating) from revenue, isolating cash generated per unit to pay fixed overhead. Gross margin subtracts cost of goods sold (COGS), which includes both variable production costs and fixed factory overhead.
What does the Margin of Safety tell a business owner?
The margin of safety shows the cushion by which projected or actual sales exceed the break-even threshold. It indicates how much demand can drop before the business begins sustaining operating losses.