Effect of Change in Fixed Cost, Sales Price and Sales Volume on
Contribution Margin and Profitability:
Learning Objectives:
- 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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Volume Profit CVP Relationship Main Page |