Contribution Margin and Basics of Cost Volume Profit (CVP) Analysis:
Learning Objectives:
- Define and explain contribution margin.
- Prepare a contribution margin format
income statement.
- What are the advantages of calculating
contribution margin?
Definition and Explanation of Contribution
Margin:
Contribution margin is the amount remaining from
sales revenue after variable expenses have been deducted. Thus it is the amount
available to cover fixed expenses and then to provide profits for the period.
Contribution margin is first used to cover the fixed expenses and then whatever
remains go towards profits. If the contribution margin is not sufficient to
cover the fixed expenses, then a loss occurs for the period. This concept is
explained in the following equations:
[ Sales
revenue − Variable cost* = Contribution Margin
]
*Both
Manufacturing and Non Manufacturing
[ Contribution
margin − Fixed cost*
=
Net operating Income or Loss ]
*Both
Manufacturing and Non Manufacturing
For further clarification of the
basic concept of cost volume and profit Analysis (CVP analysis) we now take an example.
Example:
Assume that
Masers A. Q Asem Private Ltd. has been able to
sell only one unit of product during the period. If company does not sell any
more units during the period, the company's contribution margin income statement
will appear as follows:
|
Masers A. Q.
Asem Private Ltd
Contribution margin Income Statement
For the month of-------------
|
|
Total |
Per Unit |
| Sales (1 Unit
only) |
$250 |
$250 |
| Less Variable expenses |
150 |
150 |
|
--------- |
--------- |
| Contribution margin |
100 |
100 |
| Less fixed expenses |
35,000 |
====== |
| |
--------- |
|
| Net operating loss |
$(34,900) |
|
|
====== |
|
|
For each additional unit that the company is able to sell during the
period, $100 more in contribution margin will become available to help cover the
fixed expenses. If a second unit is sold, for example, then the total
contribution margin will increase by $100 (to a total of $200) and the company's
loss will decrease by $100, to $34800. If enough units can be sold to generate
$35,000 in contribution margin, then all of the
fixed costs will be covered and
the company will have managed to at least
break even
for the month-that is to show neither profit nor loss but just cover all of its
costs. To reach the
break even point, the company will have to sell 350 units in
a period, since each unit sold contribute $100 in the contribution margin. This
is shown as follows by the contribution margin format income statement.
|
Masers A. Q. Asem Private Ltd
Contribution Margin Income Statement
For the month of-------------
|
|
Total |
Per Unit |
| Sales (350 Units) |
$87,500 |
$250 |
| Less variable expenses |
52,500 |
150 |
| |
--------- |
--------- |
| Contribution margin |
35,000 |
$100 |
| Less fixed expenses |
35,000 |
====== |
| |
---------- |
|
| Net operating profit |
$0 |
|
| |
====== |
|
|
Note that the
break even is the level of sales at which profit is
ZERO.
Once the
break even point has been reached, net income will increase by unit
contribution margin by each additional unit sold. For example, if 351 units are
sold during the period then we can expect that the net income for the month will
be $100, since the company will have sold 1 unit more than the number needed to
break even.
This is explained by the following contribution margin income
statement.
|
Masers A. Q.
Asem Private Ltd
Contribution Margin Income Statement
For the month of-------------
|
| |
Total |
Per Unit |
| Sales (351
Units) |
$87,750 |
$250 |
| Less Variable expenses |
52,500 |
150 |
|
---------- |
---------- |
| Contribution margin |
35,100 |
100 |
| Less fixed expenses |
35,000 |
====== |
|
---------- |
|
| Net operating loss |
$100 |
|
| |
====== |
|
|
If 352 units are sold then we can expect that
net operating income for the
period will be $200 and so forth. To know what the profit will be at various
levels of activity, therefore,
manager do not need to prepare a whole series of
income statements. To estimate the profit at any point above the
break even point, the manager can simply take the number of units to be sold above the
breakeven and multiply that number by the unit contribution margin. The result
represents the anticipated profit for the period. Or to estimate the effect of a
planned increase in sale on profits, the
manager can simply multiply the
increase in units sold by the unit contribution margin. The result will be
expressed as increase in profits. To illustrate it suppose company is currently
selling 400 units and plans to sell 425 units in near future, the anticipated
impact on profits can be calculated as follows.
| Increased number of units
to be sold |
25 |
| Contribution margin per unit |
×100 |
| |
|
| Increase in the net
operating income |
2,500 |
| |
====== |
|
To summarize these examples, if there were no sales, the company's loss would
equal to its fixed expenses. Each unit that is sold reduces the loss by the
amount of the unit contribution margin. Once the
break even point has been
reached, each additional unit sold increases the company's profit by the amount
of the unit contribution margin.
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