What is the Break-Even Point?

The break-even point is the level of sales at which a business’s total revenue exactly equals its total costs, resulting in zero profit and zero loss. Below the break-even point the business makes a loss; above it, every additional sale generates profit.

Break-even analysis is a core tool in management accounting and budgeting . It helps directors and managers understand the minimum trading performance required to cover all costs and informs decisions about pricing, cost control, and investment.

The Break-Even Formula

Break-Even Point (in units) = Fixed Costs / Contribution Per Unit

Where:

Contribution Per Unit = Selling Price Per Unit - Variable Cost Per Unit

Worked Example

A UK business sells a product for £50 per unit. The variable cost per unit is £30, and total fixed costs are £100,000 per year.

Break-Even Point = £100,000 / £20 = 5,000 units

The business must sell 5,000 units to cover all costs. Every unit sold above 5,000 generates £20 of profit.

Break-Even in Revenue Terms

The break-even point can also be expressed as a turnover figure:

Break-Even Turnover = Fixed Costs / Contribution Margin Ratio

Where:

Contribution Margin Ratio = Contribution Per Unit / Selling Price Per Unit

Using the same example:

Contribution Margin Ratio = £20 / £50 = 0.40 (40%)

Break-Even Turnover = £100,000 / 0.40 = £250,000

The business needs turnover of £250,000 to break even.

Fixed Costs, Variable Costs, and Contribution

Understanding the cost structure is essential for accurate break-even analysis:

Fixed Costs

Fixed costs do not change with the volume of goods produced or sold within a relevant range:

Variable Costs

Variable costs change in direct proportion to output or sales:

Contribution

The contribution is the amount each unit contributes toward covering fixed costs and generating profit. Once fixed costs are fully covered (at the break-even point), each unit’s contribution flows directly to profit.

Margin of Safety

The margin of safety measures how far above the break-even point the business is currently trading:

Margin of Safety = Actual Sales - Break-Even Sales

Margin of Safety (%) = (Actual Sales - Break-Even Sales) / Actual Sales x 100

A higher margin of safety means the business can absorb a sales decline before making a loss. A low margin of safety signals vulnerability.

Target Profit Analysis

Break-even analysis can be extended to calculate the sales needed to achieve a target net profit :

Units for Target Profit = (Fixed Costs + Target Profit) / Contribution Per Unit

If the business wants to earn £60,000 profit:

Units = (£100,000 + £60,000) / £20 = 8,000 units

To earn the target profit, 8,000 units must be sold, generating turnover of £400,000.

Multi-Product Break-Even

When a business sells multiple products with different margins, the break-even calculation uses a weighted average contribution:

Weighted Average Contribution = (20 x 0.60) + (25 x 0.30) + (8 x 0.10) = £20.30

Break-Even Units = £100,000 / £20.30 = 4,926 units

If the sales mix shifts toward lower-margin products, the break-even point rises.

Break-Even and Pricing

Impact of Price Changes

Changing the selling price directly affects the contribution and the break-even point:

A £5 price increase reduces the break-even by 1,000 units. However, the price change may also affect demand, so both effects must be considered.

Minimum Price

The floor price below which the business should not sell (in the short term) is the variable cost per unit. Any price above the variable cost makes a positive contribution toward fixed costs.

In the long term, the price must exceed full cost (variable cost plus allocated overheads ) to sustain the business.

Break-Even and Cost Changes

Effect of Fixed Cost Increases

Every £20,000 increase in fixed costs adds 1,000 units to the break-even point.

Effect of Variable Cost Increases

A £5 increase in variable cost per unit raises the break-even by 1,667 units.

Limitations of Break-Even Analysis

Despite these limitations, break-even analysis remains one of the most practical tools for day-to-day business planning.

Break-Even and Business Planning

Start-Ups

New businesses should calculate break-even before trading to understand the sales volume needed to become viable. This informs:

• Funding requirements – how much cash is needed to cover losses until break-even is reached
• Pricing strategy – whether proposed prices cover costs
• Sales targets – the minimum number of customers or transactions needed

Existing Businesses

Established businesses use break-even to evaluate:

• New product launches – will the new product reach break-even within an acceptable timeframe?
• Capital investment – if a new machine increases fixed costs, how many additional units must be sold?
• Cost reduction initiatives – how does reducing variable costs change the break-even point?
• Budget sensitivity – what happens if sales fall 10% below budget?

Break-Even and the Income Statement

At the break-even point, the income statement shows:

Every unit sold above 5,000 adds £20 to the bottom line. At 7,000 units: