3.3

Break-Even Analysis

What is Break-even?

Breaking-even is when the revenues equal the costs of production or service.

In financial terms, a business can be in one of the following situations at any point in time:

Loss - when costs of production exceed the revenues of the business

Break-even - when the revenues of the business equal the costs of production

Profit - when revenues exceed costs of production.

Profit calculations:

  • Total Revenue - Total cost

  • Margin of Safety x Contribution per Unit

  1. Variable Cost = The cost per unit made

  2. Margin of Safety = The difference between actual sales and the breakeven point

How to Calculate the Breakeven Point:

Fixed Costs / Selling Price - Variable Cost

Contribution:

Refers to the sum of money that remains after all direct and variable costs have been taken away from the sales revenue

Formulas according to Contribution:

Contribution per Unit = Price - Average Variable Cost

Total Contribution = ( Price - Average Variable Cost ) x Quantity

Profits = Total Contribution - Total Fixed Cost

Limitations of Break-Even Analysis Graphs

  • Information could be unreliable because it is based on forecasts and predictions

  • Assumes Selling Price stays the same regardless of output

  • Fixed Costs may not stay the same

  • Ignores factors such as economies of scale

  • Assumes that all output is sold

  • Only suitable for analysis of single products

  • Only considers quantitative factors.

Practice Questions for Break-even Analysis from Past IB Exams

You must do this on a piece of graphing paper and draw the break-even analysis with a pencil & ruler.

From the financial information provided in the exam question, prepare a fully labeled break-even chart for Himalayan Trekking (HT) for 2013: