Break Even Analysis

Breakeven tells you the number you have to produce and sell before you make a profit. Breakeven level of output is where total revenue = total costs. i.e there is no profit nor loss being made. Or where contribution = fixed costs

Understanding the breakeven positions is key to understanding what a business needs to do to operate profitably. Calculating contribution and breakeven output is an important analytical method that is used in every type of business, big and small.

In order to do breakeven analysis, you have to make some important assumptions

  • selling price per uint stays the same, regardless of the amount produced.
  • variable costs vary in direct proportion to output - i.e. variable
  • all output is sold
  • fixed costs do not vary with output - they stay the same These assumptions are not always realistic - a key limitation of breakeven analysis.

Method 1: Using a table

Output Sales Variable Costs Fixed Costs Total Costs Profit

0 £0 £0 £40,000 £40,000 -£40,000 SELLING PRICE: £10 1 £10,000 £40,000 £40,000 £80,000 -£34,000 2 £20,000 £80,000 £40,000 £120,000 -£28,000 VARIABLE COST: £4 3 £30,000 £120,000 £40,000 £160,000 -£22,000 4 £40,000 £160,000 £40,000 £200,000 -£16,000 FIXED COST: £40,000 5 £50,000 £200,000 £40,000 £240,000 -£10,000 6 £60,000 £240,000 £40,000 £280,000 -£4,000 7 £70,000 £280,000 £40,000 £320,000 £2,000 8 £80,000 £320,000 £40,000 £360,000 £8,000

Margin of Safety - The difference between the amount that you are producing, amd the breakeven point

Method 2: The graph method] (if you want a copy of the graph lmk)

Method 3: The formula method

Breakeven level of output = Fixed Costs/Price per unit - Variable Costs per unit

                       = Fixed Cost/Contribution per unit

EXAMPLE: using the information from the table above

B.E = 40,000/ 6 = £6,667 units (always round up, so the breakeven point it reached fully)

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