Using Break-even (AQA GCSE Business)

Revision Note

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The Structure of Break-even Charts

  • A break even chart is a visual representation of the break even point and is used to identify the following:

    • Fixed costs, total costs and revenue over a range of output

    • The break even point - where total costs are equal to revenue

    • Profit or loss made at each level of output

    • The margin of safety

Diagram: A break-even chart

A break even chart visualises the BEP, showing fixed costs, revenue and total costs

An example break-even chart shows that at 324 units, total revenue is equal to total costs  

Diagram analysis 

  • Fixed costs do not change as output increases

    • Fixed costs are £8,000 and these do not change whether the business produces 0 units or 500 units

    • The red line plots fixed costs

  • Total costs are made up of fixed and variable costs

    • At 0 units of output, they are made up exclusively of fixed costs

    • At 500 units, the total variable costs equate to £11,800

    • This green line slopes upwards because total costs costs increase as output increases

  • The revenue line also slopes upwards

    • At 0 units of output, the revenue is £0

    • At 500 units the total revenue equates to £11,800

    • Revenue will increase with the output

    • The blue line slopes more steeply than the total costs and will cross the total costs line at some point

  • The point at which the total costs (green) line and the revenue (blue) line cross is the break-even point

    • The break even level of output is therefore 324 units

      • At this point, neither a profit nor a loss is made

    • If output is greater than the break-even point, a profit will be made

    • If output is less than the break even point, a loss will be made

  • The break even chart also identifies the margin of safety if output is greater than the break even point

    • It is the difference on the x-axis between the actual level of output and the break-even level

    • The margin of safety is calculated using the formula:

      Margin space of space safety space equals space Actual space output space minus space Break space even space output

    • In this instance, the margin of safety is therefore


      Margin space of space safety space equals space 450 space units space minus space 324 space units

equals space 126 space units

  • The profit made at a specific level of output can be identified as the space between the revenue and total costs lines

    • Profit is calculated using the formula

Profit space equals space Revenue space minus space Total space costs

  • In this instance, the profit made at 450 units of output is therefore:

Profit space equals space £ 14 comma 400 space minus space £ 11 comma 250

equals space £ 3 comma 150

Worked Example

Here is the weekly break-even diagram for the Yorkshire Rare Breed Sausage Company. Output is shown as the volume of packs of sausages produced.

1-3-4---the-margin-of-safety

The owner expects to produce 4,000 packs of sausages next week.

Use the break-even diagram to calculate:

a. The margin of safety if 4,000 packs of sausages are produced

b. The profit achieved if 4,000 packs of sausages are produced

[2 marks]

Step 1: Identify the break-even point

  • The point at which the total costs line and the revenue costs line cross is 2,500 packs.

Step 2: Subtract the break-even point from the actual output level

Margin space of space safety space equals space 4 comma 000 space packs space minus space 2 comma 500 space packs

equals space 1 comma 500 space packs [1]

Step 3: Identify revenue at 4,000 units of output

  • Revenue at 4,000 units of output is £40,000

Step 4: Identify total costs at 4,000 units of output

  • Total costs at 4,000 units of output is £34,000

Step 5: Calculate profit at 4,000 units of output

Profit space equals space £ 40 comma 000 space minus space £ 34 comma 000

equals space £ 6 comma 000 [1]

Examiner Tip

Make sure that you can identify each of the key elements on a break-even chart. You may be asked to label these elements in the exam.

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