What Is Break-Even Analysis?
Break-even analysis tells you exactly how many units you need to sell — or how much revenue you need to generate — before your business starts making a profit. At the break-even point, total revenue equals total costs: you’re not losing money, but you’re not making any either.
This is one of the most powerful planning tools in managerial accounting. Every business owner, manager, and entrepreneur should be able to calculate and interpret their break-even point.
The Building Blocks: Fixed Costs, Variable Costs, and Contribution Margin
Fixed Costs
Costs that stay the same regardless of how many units you produce or sell. They don’t change with output — you pay them whether you sell 0 units or 10,000 units.
Examples: Rent, insurance premiums, salaries of permanent staff, loan repayments, depreciation on equipment
Example: Monthly fixed costs = $12,000 (rent $5,000 + salaries $6,000 + insurance $1,000)
Variable Costs
Costs that change directly with production volume. The more you produce, the higher your total variable costs.
Examples: Raw materials, packaging, sales commissions, direct labor on a per-unit basis, shipping
Example: Variable cost per unit = $8 (materials $5 + packaging $2 + commission $1)
Contribution Margin
This is the key concept in break-even analysis. Contribution margin is what’s left from the selling price after variable costs — it’s the amount each unit “contributes” toward covering fixed costs and then generating profit.
Contribution Margin per Unit = Selling Price − Variable Cost per Unit
Example: Selling price = $20 | Variable cost = $8
Contribution Margin = $20 − $8 = $12 per unit
The Contribution Margin Ratio (CM%) expresses this as a percentage of selling price:
CM% = (Contribution Margin ÷ Selling Price) × 100 = ($12 ÷ $20) × 100 = 60%
This means 60 cents of every sales dollar goes toward covering fixed costs and profit.
Calculating the Break-Even Point
Break-Even in Units
Break-Even Units = Fixed Costs ÷ Contribution Margin per Unit
Example:
Fixed Costs = $12,000 | CM per Unit = $12
Break-Even = $12,000 ÷ $12 = 1,000 units
The business must sell 1,000 units per month before earning any profit.
Break-Even in Sales Dollars
Break-Even Revenue = Fixed Costs ÷ CM%
Example:
$12,000 ÷ 0.60 = $20,000 in revenue
This makes sense: 1,000 units × $20 selling price = $20,000. Both methods agree.
Visualizing Break-Even: The Break-Even Chart
| Units Sold | Revenue | Total Costs | Profit/(Loss) |
|---|---|---|---|
| 0 | $0 | $12,000 | ($12,000) |
| 500 | $10,000 | $16,000 | ($6,000) |
| 1,000 | $20,000 | $20,000 | $0 ← Break-Even |
| 1,500 | $30,000 | $24,000 | +$6,000 |
| 2,000 | $40,000 | $28,000 | +$12,000 |
Margin of Safety
The margin of safety tells you how far sales can drop before the business hits break-even. It measures the cushion between current (or projected) sales and the break-even point.
Margin of Safety = Actual Sales − Break-Even Sales
Example: Current sales = 1,400 units ($28,000) | Break-even = 1,000 units ($20,000)
Margin of Safety = 400 units or $8,000 — sales could fall 28.6% before a loss occurs.
Profit Planning: Target Profit Analysis
Break-even analysis extends naturally to profit planning. Instead of asking “how much to break even?” you ask “how much to hit our profit target?”
Units for Target Profit = (Fixed Costs + Target Profit) ÷ CM per Unit
Example: Target profit = $6,000/month
Units needed = ($12,000 + $6,000) ÷ $12 = $18,000 ÷ $12 = 1,500 units
To verify: 1,500 × $20 = $30,000 revenue − $24,000 total costs ($12,000 fixed + 1,500 × $8 variable) = $6,000 profit ✓
Limitations of Break-Even Analysis
Break-even analysis is powerful but rests on assumptions that may not always hold:
- Linear costs — Assumes fixed costs stay fixed and variable costs stay constant per unit. In reality, bulk discounts or overtime pay change these.
- Single product — The basic model assumes one product. Multi-product businesses need a weighted average contribution margin.
- Selling price is constant — Ignores price discounts, promotions, and market pressure
- All units produced are sold — Inventory changes are ignored
Key Takeaways
- Break-even point = the sales level where total revenue equals total costs (zero profit or loss)
- Contribution margin per unit = Selling price − Variable cost per unit
- Break-even in units = Fixed Costs ÷ Contribution Margin per Unit
- Break-even in dollars = Fixed Costs ÷ CM%
- Margin of safety shows how much sales can fall before a loss occurs
- Target profit analysis extends break-even: add target profit to fixed costs in the formula
Break-Even Analysis Practice Worksheet — Download, print, and complete to reinforce this lesson.