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Effect of Change in Fixed Cost, Sales Price and Sales Volume on Contribution Margin and Profitability:

Learning Objectives:

  1. What is the effect of change in fixed cost, sales price and sales volume on contribution margin and profitability?

The following data is used to show the effects of changes in fixed cost, sales price and sales volume on the contribution margin and profitability.

Basic Data:
Selling price: $250 (100%)
Variable Expenses: $150 (60% of sales revenue)
Contribution Margin: $250 – $150 = $100 (40% of sales revenue)
Fixed Expenses: $35,000 per month

Suppose that a company is currently selling 400 units per month. To increase sales, the sales manager would like to cut the selling price by $20 per unit and increase the advertising budget by $15,000 per month. The sales manager argues that if these two steps are taken, units sales will increase by 50% to 600 units per month. Should the changes be made?

A decrease of $20 per unit in the selling price will cause unit contribution margin to decrease from $ 100 to $80.

Solution:
 
Expected total contribution margin with lower selling price:  
600 units  × $80 per unit $48,000
Present total contribution margin:  
400 units × $100 per unit 40,000
  ------------
Incremental contribution margin 8,000
Change in fixed expenses:  
Less incremental advertising expenses 15,000
  ------------
Reduction in net operating income $(7,000)
  ======

According to this analysis, the change should not be made. The same solution can be obtained by preparing comparative income statement as follows:

 

Present 400 Units per Month

Expected 600 Units per Month

 
 

Total

Per Unit

Total

Per Unit

Difference
Sales $100,000 $250 $138,000 $230 $38,000
Less variable expenses 60,000 150 90,000 150 30,000
  ------------ ------------ ------------ ------------ ------------
Contribution margin 40,000 100 48,000 80 8,000
Less fixed expenses 35,000 ====== 50,000* ====== 15,000
  ------------   ------------   ------------
Net operating income (loss) $5,000   $(2,000)   $(7,000)
           
*35,000 + Additional monthly advertising budget of $15,000.

Notice that the effect on net operating income is the same as that obtained by the incremental analysis above.

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