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Revenue, Costs and Break-Even

What-if analysis of changes in costs and revenue

  • 3 things to know
  • Component 1

Overview

What is meant by what-if analysis in break-even and how a price increase changes a break-even chart.

What you need to know

Answer each one before you reveal it.

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Key term

Explain what is meant by what-if analysis in break-even.

Key term

Describe how a rise in fixed costs appears on a break-even chart.

Numbers

A firm with fixed costs of £60,000 raises its price from £25 to £30 while variable costs stay at £15. Calculate the new break-even output.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Explain what is meant by what-if analysis in break-even.

    Model answer

    What-if analysis recalculates the break-even point after a change to price, costs or output. A manager can test a proposed change before committing to it.

  2. 2

    A business breaks even at 4,000 units with fixed costs of £40,000 and contribution of £10. Calculate the new break-even output if fixed costs rise to £50,000.

    Model answer

    Break-even output becomes £50,000 ÷ £10. The new break-even output is 5,000 units, a rise of 1,000 units.

  3. 3

    Describe how a rise in fixed costs appears on a break-even chart.

    Model answer

    A rise in fixed costs lifts the fixed cost line vertically on the chart. The total cost line shifts up by the same amount, so break-even moves to the right.

  4. 4

    A firm with fixed costs of £60,000 raises its price from £25 to £30 while variable costs stay at £15. Calculate the new break-even output.

    Model answer

    Contribution per unit rises from £10 to £15 when the price moves to £30. Break-even output becomes £60,000 ÷ £15, giving 4,000 units.

  5. 5

    Describe how a price increase changes a break-even chart.

    Model answer

    A price increase makes the total revenue line steeper on the chart. The revenue line then crosses the total cost line at a lower output.

  6. 6

    A business has fixed costs of £40,000 and a price of £25, and variable costs rise from £15 to £17. Calculate the new break-even output.

    Model answer

    Contribution per unit falls from £10 to £8 when variable cost reaches £17. Break-even output becomes £40,000 ÷ £8, giving 5,000 units.

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