3.
3 Break-even Analysis
Contribution per unit = selling price per unit – variable cost per unit
Total contribution = total revenue – total variable cost = contribution per unit × no. of units sold
Profit = total contribution – total fixed costs = sales revenue – total variable costs – total fixed costs
Break-even charts are graphs that show how costs and revenues of a business change with a change in sales. They show
the level of sales the business must make in order to break even.
Output = 0 units Output = 2000 units (max.) Breakeven point is that
Fixed costs are all costs that do not level of output where
$5000 $5000
change with the change in output. sales revenue is equal to
Variable costs are all costs that total cost, where there is
$0 $3*2000 = $6000
change with the change in output. no profit or loss.
Total costs (FC+VC) $5000 $11000 unable to reach = loss
Revenue: income from sales of G&S output in excess = profit
$0 $8*2000 = $16000
(price*quantity of output sold)
Methods to find the break-even point
The calculation method
3*0$) +14#- /*505
!"#$%#&#' )#&#) *+ ,"*-./01*' =
6*'0"17.01*' ,#" .'10
6*'0"17.01*' ,#" .'10 = 8#))1'9 ,"1/# ,#" .'10 − &$"1$7)# /*50 ,#" .'10 à Helps to cover FC of the business
Drawing a breakeven chart
Margin of safety is a measure of the
difference between the break-even level
of output and the actual (current) level
of output. It is the range of output over
which profit is made.
= current output – breakeven output
The greater the difference, the safer the
firm will be in its profit earnings.
As the MOS is a positive value, this is a
favourable position for the firm.
Producing below break-even point à
negative MOS & making a loss