Break-even (Edexcel A Level Business)

Revision Note

Using Contribution to Calculate the Break Even Point

  • The contribution value is used to calculate the Break Even Point

  • The Break Even Point is where a total revenue earned for a product is exactly equal to its total costs and where the business is making neither a profit nor a loss
     

Break space Even space Point space space space space space space space space equals space space space space space space space space space space fraction numerator Fixed space Costs over denominator Contribution end fraction

  • The break even point is expressed as several units (e.g. the number of scented candles)

  • Identifying the break even point allows a business to understand how many items it needs to produce and sell to cover all costs before it starts to make a profit

    • Each subsequent unit sold past this point will generate profit for the business

Worked Example

Selected Cost and Revenue data for Canterbury Glamping

 Cost/Revenue

£

Revenue per pod per night

95

Variable costs per pod per night

19

Annual fixed costs

55,000

Using the information in the table, calculate how many pods need to be occupied each month for Canterbury Glamping to break even. (4)

Step 1 - State the formula to calculate the break even point

Break space Even space Point equals space space space space space space space space space space space space space space space space space fraction numerator Fixed space Costs over denominator Contribution end fraction space                     (1 mark)

Step 2 - Calculate the contribution

Selling price - variable cost per unit

= £95 - £19

= £76                                    (1 mark)

Step 3 - Apply the formula to calculate the break even point

fraction numerator £ 55 comma 000 over denominator space £ 76 end fraction space      

= 723.68 (1 mark)

Step 4 - Always round UP to the nearest whole number because only whole products can be sold

723.68

= 724 camping pods                    (1 mark)

Margin of Safety

  • The margin of safety is the difference between the actual level of output of a business and its break even level of output

  • The margin of safety can be calculated using the following formula

Margin space of space safety space equals space Actual space level space of space output space minus space Break e ven space level space of space output

Worked Example

The cost, sales and revenue for an electric bicycle manufacturer are presented in the table below

Annual fixed costs

£42,000

Selling price per unit

£750

Variable cost per unit

£350

Number of units sold

240

Using the data, calculate the margin of safety. You are advised to show your workings. (3)

Step 1 - Calculate the contribution

£750 - £350

= £400                      (1 mark)

Step 2 - Calculate the break even point

   fraction numerator £ 42 comma 000 over denominator space £ 400 end fraction space

= 105 units                      (1 mark)

Step 3 - Calculate the margin of safety

240 units - 105 units

= 135 units                      (1 mark)

Interpretation 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

Break even chart showing monthly rentals of vans with lines for fixed costs, total costs, and revenue, highlighting break-even point and margin of safety.

The break even chart for A2B Limited shows that at 324 units the total revenue = the total costs  

Diagram analysis 

  • Fixed costs do not change as output increases

    • A2B's fixed costs are £8,000 and these do not change whether the business produces 0 units or 500 units

  • 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 line slopes upwards because total variable 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 line will slope more steeply than the total costs and will cross the total costs line at some point

  • The point at which the total costs and the revenue lines cross is the break even point

    • The break even level of output for A2B is 324 units

  • The margin of safety can be identified as the difference on the x-axis between the actual level of output (in this case 450 units) and the break even point

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

    • In this instance the profit made at 450 units of output is £14,400 - £11,250 = £3,150

Limitations of Break Even Analysis

Flowchart illustrating limitations of break-even analysis, such as reliance on accurate data, assumption of all output sold, and difficulty with multiple products.

The limitations of break even analysis

  • The limitations of break even analysis can be used to evaluate the usefulness of this tool for a start up or growing business

Examiner Tip

When assessing break even analysis, ensure that you explain why it has an important internal planning role - but don’t forget that it has a significant external role too. Break even analysis should be included in a business plan when a business is trying to secure external finance. Businesses looking to borrow money or attract investors seeking to manage their risk should take care to model the break even point, margin of safety and level of profit (or loss) at different levels of output and be prepared to be scrutinised on the figures.

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Lisa Eades

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