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Revenue, Costs and Break-Even

Calculating the break-even point

  • 3 things to know
  • Component 1

Overview

What is meant by break-even and formula for the break-even level of output.

What you need to know

Answer each one before you reveal it.

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Key term

Explain what is meant by break-even.

Key term

State the formula for the break-even level of output.

Numbers

A business has fixed costs of £40,000, a selling price of £25 and variable costs of £15. Calculate the break-even output.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Explain what is meant by break-even.

    Model answer

    Break-even is the level of output at which total revenue exactly equals total costs. A business at break-even makes neither a profit nor a loss.

  2. 2

    State the formula for the break-even level of output.

    Model answer

    Break-even output equals fixed costs divided by contribution per unit. Contribution per unit is the selling price minus the variable cost per unit.

  3. 3

    A business has fixed costs of £40,000, a selling price of £25 and variable costs of £15. Calculate the break-even output.

    Model answer

    Contribution per unit is £25 − £15, which is £10. Break-even output is £40,000 ÷ £10, giving 4,000 units.

  4. 4

    Verify that break-even is 4,000 units when price is £25, variable cost is £15 and fixed costs are £40,000.

    Model answer

    Revenue at 4,000 units is 4,000 × £25, which is £100,000. Total costs are £40,000 plus 4,000 × £15, also £100,000, so the two are equal.

  5. 5

    A business breaks even at 4,000 units with a selling price of £25. Calculate its break-even revenue.

    Model answer

    Break-even revenue equals break-even output multiplied by selling price. Break-even revenue here is 4,000 × £25, giving £100,000 of sales.

  6. 6

    A firm has fixed costs of £60,000, a selling price of £30 and variable costs of £18. Calculate its break-even output.

    Model answer

    Contribution per unit is £30 − £18, which is £12. Break-even output is £60,000 ÷ £12, giving 5,000 units.

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