Break-even - OCRSimple calculation of break-even quantity

Break-even is the point at which a business is not making a profit or a loss. Businesses will calculate their break-even point in order to use the information when making decisions.

Part ofBusinessOperations, finance and influences on business

Simple calculation of break-even quantity

Drawing a break-even graph can be time-consuming, but there is a simpler way to calculate the break-even quantity:

\(Break-even = \frac{fixed costs}{selling price-variable cost (per unit)}\)

The result of this calculation is always how many products a business needs to sell in order to break even.

Example

A business that sells T-shirts knows that:

  • Its are £400.
  • The selling price (per unit) is £10.
  • The (per unit) are £6.

So their BEP can be calculated as:

\(Break-even = \frac{fixed costs}{selling price-variable cost (per unit)}\)

\(Break-even = \frac{£400}{£10-£6}\)

\(Break-even = \frac{£400}{£4}\)

\(= 100 units (T-shirts)\)

So this business breaks even when it sells 100 T-shirts.

Sometimes the result is a little more complex, as the BEP may not be a whole number (eg 100.12). In such cases, the business would always need to sell an additional item in order to break even. An example of this is shown below:

\(Break-even = \frac{£401}{£10-£6}\)

\(Break-even = \frac{£401}{£4}\)

\(= 100.25 units\)

In this case, the business would need to sell 101 T-shirts to break even.