Break-Even Analysis: Formula, Worked Example and Decision Uses
Learn the break-even formula, contribution margin, a worked AED example, limitations and practical uses for pricing and planning.
Key takeaways
- Contribution per unit equals selling price minus variable cost per unit.
- Break-even units equal fixed costs divided by contribution per unit.
- Whole units should be rounded up for planning.
- The calculation is an estimate and depends on stable assumptions.
What break-even means
The break-even point is the sales level at which total contribution equals fixed costs, producing neither profit nor loss. It helps management translate cost structure into a sales target.
It is most useful when costs can be meaningfully separated into fixed and variable components and the sales mix is reasonably stable.
Core formulas
Contribution per unit = selling price per unit − variable cost per unit. Contribution margin ratio = contribution per unit ÷ selling price. Break-even units = fixed costs ÷ contribution per unit. Break-even revenue = fixed costs ÷ contribution margin ratio.
For a target profit, add the target to fixed costs before dividing by contribution.
Worked example
Assume monthly fixed costs of AED 25,000, a selling price of AED 100 and variable cost of AED 60 per unit. Contribution is AED 40 per unit and the contribution margin is 40%.
Break-even units are 25,000 ÷ 40 = 625. Theoretical break-even revenue is 25,000 ÷ 40% = AED 62,500. To earn AED 10,000 target profit, required units are (25,000 + 10,000) ÷ 40 = 875.
Use it for decisions
Test price changes, supplier cost increases, staffing commitments, rent changes and sales-volume plans. A lower price can increase demand but also reduces contribution, meaning more units may be required.
Compare scenarios instead of relying on one forecast. Show base, optimistic and downside assumptions and identify which variables matter most.
Multi-product businesses
Where products have different margins, use a weighted-average contribution based on an expected sales mix. If the mix changes, the break-even result changes. Service businesses can adapt the model using billable hours, sessions, children, contracts or another meaningful activity unit.
Avoid combining unrelated activities when their cost drivers and margins differ materially.
Limitations
The model often assumes linear prices and costs, no capacity step-changes, stable efficiency and complete cost classification. In reality, overtime, discounts, minimum orders and additional supervisors can create steps.
Break-even is not a cash forecast and does not by itself consider payment timing, tax, financing or capital expenditure.
Frequently asked questions
What if price is equal to variable cost?
Contribution is zero, so there is no finite break-even point under those assumptions.
Should VAT be included?
Use figures consistently. For a VAT-registered business, management analysis often excludes recoverable VAT, but treatment depends on the transaction and the purpose of the analysis.
Can I use annual costs?
Yes, if every input—including units, fixed costs and target profit—uses the same annual period.
Official and technical sources
This article provides general educational information and is not an audit, legal opinion, tax ruling or advice for a specific transaction. Rules and official guidance can change; verify current requirements before acting.
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