CIMA EXAM GUIDE
.
Theory of Marginal Costing
The theory of marginal costing as set out in “A report
on Marginal Costing” published by CIMA,
In relation to a given volume of output, additional
output can normally be obtained at less than proportionate cost because within
limits, the aggregate of certain items of cost will tend to remain fixed and
only the aggregate of the remainder will tend to rise proportionately with an
increase in output.
Conversely, a decrease in the volume of output will
normally be accompanied by less than proportionate fall in the aggregate cost.
The theory of marginal costing may, therefore, is
understood in the following two steps:
If the volume of output
increases, the cost per unit in normal circumstances reduces. Conversely, if an
output reduces, the cost per unit increases. If a factory produces 1000 units
at a total cost of $3,000 and if by increasing the output by one unit the cost
goes up to $3,002, the marginal cost of additional output will be $.2.
If an increase in output is
more than one, the total increase in cost divided by the total increase in
output will give the average marginal cost per unit. If, for example, the
output is increased to 1020 units from 1000 units and the total cost to produce
these units is $1,045, the average marginal cost per unit is $2.25. It can be
described as follows:
|
Additional cost = |
|
$ 45 = $2.25 |
The ascertainment of marginal cost is based on the
classification and segregation of cost into fixed and variable cost. In order
to understand the marginal costing technique, it is essential to understand the
meaning of marginal cost.
Marginal cost means the cost of the marginal or last unit produced. It is also
defined as the cost of one more or one less unit produced besides existing
level of production. In this connection, a unit may mean a single commodity, a
dozen, a gross or any other measure of goods.
For example, if a manufacturing firm produces X unit
at a cost of $ 300 and X+1 units at a cost of $ 320, the cost of an additional
unit will be $ 20 which is marginal cost. Similarly if the production of X-1
units comes down to $ 280, the cost of marginal unit will be $ 20 (300–280).
The marginal cost varies directly with the volume of
production and marginal cost per unit remains the same. It consists of prime
cost, i.e. cost of direct materials, direct labor and all variable overheads.
It does not contain any element of fixed cost which is kept separate under
marginal cost technique.
Marginal costing may be defined as the technique of presenting cost data wherein
variable costs and fixed costs are shown separately for managerial
decision-making. It should be clearly understood that marginal costing is not a
method of costing like process costing or job costing. Rather it is simply a
method or technique of the analysis of cost information for the guidance of
management which tries to find out an effect on profit due to changes in the volume
of output.
There are different phrases being used for this
technique of costing. In
Marginal costing technique has given birth to a very
useful concept of contribution where contribution is given by: Sales revenue
less variable cost (marginal cost)
Contribution may be defined as the profit before the
recovery of fixed costs. Thus, contribution goes toward the recovery of fixed
cost and profit, and is equal to fixed cost plus profit (C = F + P).
In case a firm neither makes profit nor suffers loss,
contribution will be just equal to fixed cost (C = F). this
is known as break even point.
The concept of contribution is very useful in marginal
costing. It has a fixed relation with sales. The proportion of contribution to
sales is known as P/V ratio which remains the same under given conditions of
production and sales.
The principles of marginal costing
The principles of marginal costing are as follows.
For any given period of time,
fixed costs will be the same, for any volume of sales and production (provided
that the level of activity is within the ‘relevant range’). Therefore, by
selling an extra item of product or service the following will happen.
§
Revenue will
increase by the sales value of the item sold.
§
Costs will
increase by the variable cost per unit.
§
Profit will
increase by the amount of contribution earned from the extra item.
Similarly, if the volume of
sales falls by one item, the profit will fall by the amount of contribution
earned from the item.
Profit measurement should
therefore be based on an analysis of total contribution. Since fixed costs
relate to a period of time, and do not change with increases or decreases in
sales volume, it is misleading to charge units of sale with a share of fixed
costs.
When a unit of product is
made, the extra costs incurred in its manufacture are the variable production
costs. Fixed costs are unaffected, and no extra fixed costs are incurred when
output is increased.
The main features of marginal costing are as follows:
Cost Classification
The marginal costing technique makes a sharp distinction between variable costs
and fixed costs. It is the variable cost on the basis of which production and
sales policies are designed by a firm following the marginal costing technique.
Stock/Inventory
Valuation
Under marginal costing, inventory/stock for profit measurement is valued at
marginal cost. It is in sharp contrast to the total unit cost under absorption
costing method.
Marginal Contribution
Marginal costing technique makes use of marginal contribution for marking
various decisions. Marginal contribution is the difference between sales and
marginal cost. It forms the basis for judging the profitability of different
products or departments.
Advantages
and Disadvantages of Marginal Costing Technique
Marginal costing is simple to
understand.
By not charging fixed
overhead to cost of production, the effect of varying charges per unit is
avoided.
It prevents the illogical
carry forward in stock valuation of some proportion of current year’s fixed overhead.
The effects of alternative
sales or production policies can be more readily available and assessed, and
decisions taken would yield the maximum return to business.
It eliminates large balances
left in overhead control accounts which indicate the difficulty of ascertaining
an accurate overhead recovery rate.
Practical cost control is
greatly facilitated. By avoiding arbitrary allocation of fixed overhead,
efforts can be concentrated on maintaining a uniform and consistent marginal
cost. It is useful to various levels of management.
It helps in short-term profit
planning by breakeven and profitability analysis, both in terms of quantity and
graphs. Comparative profitability and performance between two or more products
and divisions can easily be assessed and brought to
the notice of management for decision making.
The separation of costs into
fixed and variable is difficult and sometimes gives misleading results.
Normal costing systems also
apply overhead under normal operating volume and this shows that no advantage
is gained by marginal costing.
Under marginal costing,
stocks and work in progress are understated. The exclusion of fixed costs from
inventories affect profit, and true and fair view of
financial affairs of an organization may not be clearly transparent.
Volume variance in standard
costing also discloses the effect of fluctuating output on fixed overhead.
Marginal cost data becomes unrealistic in case of highly fluctuating levels of
production, e.g., in case of seasonal factories.
Application of fixed overhead
depends on estimates and not on the actuals and as
such there may be under or over absorption of the
same.
Control affected by means of
budgetary control is also accepted by many. In order to know the net profit, we
should not be satisfied with contribution and hence, fixed overhead is also a
valuable item. A system which ignores fixed costs is
less effective since a major portion of fixed cost is not taken care of under
marginal costing.
In practice, sales price,
fixed cost and variable cost per unit may vary. Thus, the assumptions
underlying the theory of marginal costing sometimes becomes unrealistic. For
long term profit planning, absorption costing is the
only answer.
Presentation of Cost Data
under Marginal Costing and Absorption Costing
Marginal costing is not a method of costing but a
technique of presentation of sales and cost data with a view to guide
management in decision-making.
The traditional technique popularly known as total
cost or absorption costing technique does not make any difference between
variable and fixed cost in the calculation of profits. But marginal cost
statement very clearly indicates this difference in arriving at the net
operational results of a firm.
Following presentation of two Performa shows the
difference between the presentation of information according to absorption and
marginal costing techniques:
MARGINAL COSTING
|
|
£ |
£ |
|
Sales Revenue |
|
xxxxx |
|
Less Marginal Cost of
Sales |
|
|
|
Opening Stock (Valued @
marginal cost) |
xxxx |
|
|
Add Production Cost (Valued
@ marginal cost) |
xxxx |
|
|
Total Production Cost |
xxxx |
|
|
Less Closing Stock (Valued
@ marginal cost) |
(xxx) |
|
|
Marginal Cost of Production |
xxxx |
|
|
Add Selling, Admin &
Distribution Cost |
xxxx |
|
|
Marginal Cost of Sales |
|
(xxxx) |
|
Contribution |
|
xxxxx |
|
Less Fixed Cost |
|
(xxxx) |
|
Marginal Costing Profit |
|
xxxxx |
ABSORPTION COSTING
|
|
£ |
£ |
|
Sales Revenue |
|
xxxxx |
|
Less Absorption Cost of
Sales |
|
|
|
Opening Stock (Valued @
absorption cost) |
xxxx |
|
|
Add Production Cost (Valued
@ absorption cost) |
xxxx |
|
|
Total Production Cost |
xxxx |
|
|
Less Closing Stock (Valued
@ absorption cost) |
(xxx) |
|
|
Absorption Cost of
Production |
xxxx |
|
|
Add Selling, Admin &
Distribution Cost |
xxxx |
|
|
Absorption Cost of Sales |
|
(xxxx) |
|
Un-Adjusted Profit |
|
xxxxx |
|
Fixed Production O/H
absorbed |
xxxx |
|
|
Fixed Production O/H
incurred |
(xxxx) |
|
|
(Under)/Over Absorption |
|
xxxxx |
|
Adjusted Profit |
|
xxxxx |
Marginal Costing versus Absorption Costing
After knowing the two
techniques of marginal costing and absorption costing, we have seen that the
net profits are not the same because of the following reasons:
1. Over
and Under Absorbed Overheads
In absorption costing, fixed overheads can never be
absorbed exactly because of difficulty in forecasting costs and volume of
output. If these balances of under or over absorbed/recovery are not written
off to costing profit and loss account, the actual amount incurred is not shown
in it. In marginal costing, however, the actual fixed overhead incurred is
wholly charged against contribution and hence, there will be some difference in
net profits.
2. Difference in Stock Valuation
In marginal costing, work in progress and finished
stocks are valued at marginal cost, but in absorption costing, they are valued
at total production cost. Hence, profit will differ as different amounts of
fixed overheads are considered in two accounts.
The profit difference due to difference in stock
valuation is summarized as follows:
When there is no opening and
closing stocks, there will be no difference in profit.
When opening and closing
stocks are same, there will be no difference in profit, provided the fixed cost
element in opening and closing stocks are of the same amount.
When closing stock is more
than opening stock, the profit under absorption costing will be higher as
comparatively a greater portion of fixed cost is included in closing stock and
carried over to next period.
When closing stock is less
than opening stock, the profit under absorption costing will be less as
comparatively a higher amount of fixed cost contained in opening stock is
debited during the current period.
The
features which distinguish marginal costing from absorption costing are as
follows.
In absorption costing, items
of stock are costed to include a ‘fair share’ of
fixed production overhead, whereas in marginal costing, stocks are valued at
variable production cost only. The value of closing stock will be higher in
absorption costing than in marginal costing.
As a consequence of carrying
forward an element of fixed production overheads in closing stock values, the
cost of sales used to determine profit in absorption costing will:
i.
include some
fixed production overhead costs incurred in a previous period but carried
forward into opening stock values of the current period;
ii.
exclude some fixed production overhead costs incurred in the
current period by including them in closing stock values.
In contrast marginal costing
charges the actual fixed costs of a period in full into the profit and loss account
of the period. (Marginal costing is therefore sometimes known as period
costing.)
In absorption costing,
‘actual’ fully absorbed unit costs are reduced by producing in greater
quantities, whereas in marginal costing, unit variable costs are unaffected by
the volume of production (that is, provided that variable costs per unit remain
unaltered at the changed level of production activity). Profit per unit in any
period can be affected by the actual volume of production in absorption
costing; this is not the case in marginal costing.
In marginal costing, the
identification of variable costs and of contribution enables management to use cost information more easily for decision-making
purposes (such as in budget decision making). It is easy to decide by how much
contribution (and therefore profit) will be affected by changes in sales
volume. (Profit would be unaffected by changes in production volume).
In absorption
costing, however, the effect on profit in a period of changes in both:
iii.
production
volume; and
iv.
sales volume;
is not easily seen, because behaviour is not analysed and incremental costs are not used in the
calculation of actual profit.
Limitations of Absorption
Costing
The following are the criticisms against absorption
costing:
You might have observed that in absorption costing, a
portion of fixed cost is carried over to the subsequent accounting period as
part of closing stock. This is an unsound practice because costs pertaining to
a period should not be allowed to be vitiated by the inclusion of costs
pertaining to the previous period and vice versa.
Further, absorption costing is dependent on the levels
of output which may vary from period to period, and consequently cost per unit
changes due to the existence of fixed overhead. Unless fixed overhead rate is
based on normal capacity, such changed costs are not helpful for the purposes
of comparison and control.
The cost to produce an extra
unit is variable production cost. It is realistic to the value of closing stock
items as this is a directly attributable cost. The size of total contribution
varies directly with sales volume at a constant rate per unit. For the
decision-making purpose of management, better information about expected profit
is obtained from the use of variable costs and contribution approach in the
accounting system.