Explanation of the Topic...

Break-even Point


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Contribution Margin

An important term used with break-even point or break-even analysis is contribution margin. In equation format it is defined as follows:


  Contribution Margin   =   Revenues   –   Variable Expenses  


The contribution margin for one unit of product or one unit of service is defined as:


  Contribution Margin per Unit   =   Revenues per Unit   –   Variable Expenses per Unit  


At Oil Change Co. the contribution margin per car (or per oil change) is computed as follows:


Contribution Margin per car
=
Revenues per car
Variable Expenses per car
Contribution Margin per car
=
$24
$9

Contribution Margin per car
=
$15


The contribution margin per car lets you know that after the variable expenses are covered, each car serviced will provide or contribute $15 toward the Oil Change Co.'s fixed expenses of $2,400 per week. After the $2,400 of weekly fixed expenses has been covered the company's profit will increase by $15 per car serviced.



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Break-even Point In Units

The break-even point in units for Oil Change Co. is the number of cars it needs to service in order to cover the company's fixed and variable expenses. The break-even point formula is to divide the total amount of fixed costs by the contribution margin per car:


  Break-even Point in Cars per Week   =   Fixed Expenses per week   ÷   Contribution Margin per car  
  Break-even Point in Cars per Week   =   $2,400 per week   ÷   $15 per Car  
  Break-even Point in Cars per Week   =   160 Cars per Week  


It's always a good idea to check your calculations. The following schedule confirms that the break-even point is 160 cars per week:


Oil Change Co.
Projected Net Income
For a Week


Sales (160 cars serviced at $24 per car) $ 3,840
Variable expenses (160 cars at $9 per car) – 1,440
Contribution margin 2,400
Fixed expenses – 2,400
Net income $       0


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