Back to Academy
Lesson 3 of 4Business Finance

Break-Even Analysis

Every business owner needs to know: "How many units do I need to sell to cover all my costs?" That's your break-even point. It's the most fundamental profitability calculation — and it takes just one formula.

The Break-Even Formula

Break-Even Units = Fixed Costs ÷ Contribution Margin per Unit

Contribution Margin = Selling Price − Variable Cost per Unit

Fixed Costs vs Variable Costs

Fixed Costs (Don't Change with Volume)

  • • Rent / Lease payments
  • • Salaried employee wages
  • • Insurance premiums
  • • Depreciation
  • • Software subscriptions
  • • Loan EMI payments
Whether you sell 0 units or 10,000 units, rent stays the same.

Variable Costs (Change with Volume)

  • • Raw materials / COGS
  • • Packaging & shipping
  • • Sales commissions
  • • Payment processing fees
  • • Hourly labor (production)
  • • Utilities (manufacturing)
Sell 2x more = variable costs roughly double.

Worked Example — T-Shirt Business

Selling Price

£500

Variable Cost / Unit

£200

fabric + printing + packaging

Monthly Fixed Costs

£90,000

rent + salary + tools

Contribution Margin per unit£500£200 = £300
Break-Even Units£90,000 ÷ £300 = 300 units
Break-Even Revenue300 × £500 = £150,000
Contribution Margin Ratio£300 ÷ £500 = 60%
Interpretation: You need to sell 300 t-shirts per month (£150,000 revenue) to cover all costs. Unit #301 onwards is pure profit — each generating £300 contribution to profit.

Sensitivity — What If Scenarios

ScenarioChangeNew BEPImpact
Base case300 units
Price increase to £600+£100225 units−25% (easier)
Raw material cost rises to £250+£50360 units+20% (harder)
Rent increases to £110,000+£20,000367 units+22% (harder)
10% discount (£450)−£50360 units+20% (harder)

Key insight: A 10% discount requires 20% more sales to break even. Discounting is expensive — understand the break-even impact before offering.

Key Takeaways

Break-Even Point = Fixed Costs ÷ (Selling Price − Variable Cost). Know this number for every product or service

Contribution margin is the key metric — it's what each unit contributes toward covering fixed costs, then profit

Higher contribution margin = lower break-even point. Focus on products/services with the highest margins

Use sensitivity analysis (what-if scenarios) to understand the impact of price changes, cost increases, or discounts

Break-even analysis informs pricing, product mix, cost control, and investment decisions — revisit it quarterly