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Variable and fixed costs

Contribution Margin Income ment Following is the contribution income ment of Herrested Company for the year ending December 31, In this income statement, all the variable costs are first deducted from total sales to get a contribution margin figure. After that, all the fixed expenses are then deducted from contribution margin figure to reach at the net income figure. In year 2011, Herrested Company earned contribution margin of $60 per unit or $480, 000 in total with the net income of $180, 000.
Herrested Company
Contribution Margin Income Statement
For the period ending December 31, 2011

per unit
No. of units sold
Total
Sales
250
8, 000
2, 000, 000
Variable Cost

Direct Material
100

Direct Labor
50

Variable Overhead
30

Variable – Selling & Admin
10

Total Variable Cost
190
8, 000
1, 520, 000
Contribution
60
8, 000
480, 000
Fixed – Overhead
200, 000
Fixed – Selling & Admin
100, 000
Net Income
180, 000

If the selling price per unit is increased to $280, it will result in the increase of contribution margin per unit such that it would increase from $60 to $90 per unit or $720, 000 in total. Similarly, the net income will also increase from $180, 000 to $420, 000.
Herrested Company
Contribution Margin Income Statement
For the period ending December 31, 2011

per unit
No. of units sold
Total
Sales
280
8, 000
2, 240, 000
Variable Cost

Direct Material
100

Direct Labor
50

Variable Overhead
30

Variable – Selling & Admin
10

Total Variable Cost
190
8, 000
1, 520, 000
Contribution
90
8, 000
720, 000
Fixed – Overhead
200, 000
Fixed – Selling & Admin
100, 000
Net Income
420, 000

The formula to calculate the break even number of units is fixed cost divided by contribution margin per unit (Garrison et al, 2009). At a selling price of $250 per unit and direct material cost per unit of $100, the breakeven number of units, are 5, 000. If Herrested Company wants to remain at no profit/no loss position, it would at least need to produce 5, 000 units which would be exactly enough to cover the associated fixed costs.
If direct material cost is increased to $120 per unit, it will reduce the contribution margin per unit from $60 per unit to $40 per unit. As a result, the new breakeven quantity would be 7, 500 units. Following are the computations of breakeven units at both the contribution margin per unit of $60 and $40 respectively:
Breakeven units
=
Fixed Cost / Contribution Margin per unit
=
300, 000
=
5, 000

60

Breakeven units
=
Fixed Cost / Contribution Margin per unit
=
300, 000
=
7, 500

40

References
Garrison, Ray H., Noreen, Eric W. & Brewer Peter C. (2009). Managerial Accounting. 13th ed. United States: McGraw-Hill/Irwin.

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