marginal costing with decision making
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INTRODUCTION OF COSTING
COST: The Terminology of Management Accounting (CIMA) has defined cost as
the amount of expenditure (actual or national) incurred on or attributable to a
specified thing or activity.
COST is amount of Expenditure incurred one specified thing or activity.
COSTING means classifying, recording and appropriate allocation of expenditure
foe the determination of the costs of goods or services and presentation of suitably
arranged data for the purposes of control and guidance of the management.
COSTING ACCOUNTING : The current official terminology of the Chartered
Institute of Management Accountants of England defines cost accounting as ,”that
part of Management accounting which establishes budgets and standard costs of
operation, processes departments or products and the analysis of variances
profitability or social use of Funds”.
ADVANTAGES OF COST ACCOUNTING:
1. Cost Reduction
2. Profit improvement
3. Helps in arriving at decisions
In Costing there are Different ways of Arranging cost Data in Costing Accounting
.Different way or Methods of Cost Accounting in different way;
In Below the diagram there are explain a different methods and different
Techniques of costing which is given below:
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COSTING
METHODS OF COSTING TECHNIQUES OF COSTING
JOB COSTING (1) ABSORPTION COSTIMG
PROCESS COSTING (2) STANDARD COSTING
FARM COSTING (3) MARGINAL COSTING
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MARGINAL COSTING : The term Marginal Costing is defined as the
amount at any given volume of output by which aggregate costs are changed if the
volume of output is increased or decreased by one unit. It is a variable if that unit
was not produced or provided.
DIFINITION AND MEANING
Marginal costing is a principle whereby variable costs are charged to cost units and
fixed costs attributable to the relevant period is written off in full against the
contribution for that period. Marginal Costing is the ascertainment of marginal cost
and the effect on profit of changes in volume or type of output by differentiating between fixted costs and variable costs.
CIMA defines marginal as “the accounting system in which variable cost are
charged to the cost units and fixed costs of the period are written off in full against
the aggregate contribution.
Marginal Costing is not a distinct method of costing like job costing or process
costing. It is a technique which provides presentation of costs data in such a way
that true cost volume profit relationship is revealed. Under this techniques, it is
presumed that costs can be divided in two categories, i.e., fixed cost and variable
cost.
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FEATURES OF MARGINAL COSTING
1. Costs are divided into two categories i.e. fixed costs and variable costs.
2. Fixed cost is considered period cost and remains out of consideration for
determined of product cost and value of inventories.
3. Prices are determined with reference to marginal cost and contribution
margin.
4. Profitability of department and products is determined with reference to their
contribution margin.
5. In presentation of cost data, display of contribution assumes dominant role.
6. Closing stock is valued on marginal cost.
MARGINAL COSTING AS A COSTING SYSTEM
Marginal Costing is a type of flexible standard costing that separates fixed costs
from proportional costs in relation to the output quantity of the objects. In particular, Marginal Costing is a comprehensive and sophisticated method of
planning and monitoring costs based on resource drivers. Selecting the resource
drivers and separating the costs into fixed and proportional components ensures
that cost fluctuations caused by changes in operating levels, as defined by marginal
analysis, are accurately predicted as changes in authorized costs and incorporated
into variance analysis.
This form of internal management accounting has become widely accepted in
business practice over the last 50 years. During this time, however, the demands
placed on costing systems by cost management requirements have changed
radically.
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MARGINAL COST
In economics and finance, marginal cost is the change in total cost that arises when
the quantity produced changes by one unit. It is the cost of producing one more
unit of a good. Mathematically, the marginal cost (MC) function is expressed as
the first derivative of the total cost (TC) function with respect to quantity (Q). Note
that the marginal cost may change with volume, and so at each level of production,
the marginal cost is the cost of the next unit produced.
A typical Marginal Cost Curve
In general terms, marginal cost at each level of production includes any additional
costs required to produce the next unit. If producing additional vehicles requires,
for example, building a new factory, the marginal cost of those extra vehicles
includes the cost of the new factory. In practice, the analysis is segregated into
short and long-run cases, and over the longest run, all costs are marginal. At each
level of production and time period being considered, marginal costs include all
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costs which vary with the level of production, and other costs are considered fixed
costs.
A number of other factors can affect marginal cost and its applicability to real
world problems. Some of these may be considered market failures. These may
include information asymmetries, the presence of negative or positive externalities,
transaction costs, price discrimination and others.
Theory of Marginal Costing
The theory of marginal costing as set out in “A report on Marginal Costing”,
London is as follows: In relation to a given volume of output, additional output cannormally 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, by understood in the following two
steps:
1. 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 be2.
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2. If an increase in output is more than one, the total increase in 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 =Additional units 1045 = 2.25 20
The Principles of Marginal Costing
The principles of marginal costing are as follows.
a. 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‟).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.
b. Similarly, if the volume of sales falls by one item, the profit will fall by the
amount of contribution earned from the item.
c. 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.
d. 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 fixedcosts are incurred when output is increased.
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MARGINAL COSTING PRO-FORMA
Sales
LESS:-
VARIABLE COST
Direct material
Direct labour
Direct expenses etc.
Variable factory overheads
Selling overheads
Less: Closing stock
Contribution
Less:-
Fixed cost
Net profit
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Argument in favour of Marginal Costing:
The supporter of marginal costing technique put forth the following points in
support of their argument:
1) Fixed costs are period costs in nature and it should be charged to the
concerned period irrespective of the quantum or level of production or sale.
2) Marginal costing method is simple in application and is easy for exercise of
cost control. It is more informative and simple to understand.
3) It helps the management with more appropriate information in taking vital
business decisions like make or buy, sub-contracting, export order pricing, pricing
under recession, continue or discontinue a product/ division/ sales territory,
selection of suitable product.
4) Inclusion of fixed cost in the product cost distorts the comparability of products
at different volume and disturbs control actions. It highlights the significance of
fixed costs on profits. In a highly competitive situation, it may be wise to take an
order which covers marginal cost and makes some contribution towards fixed
costs, rather lose the order and the contribution by insisting upon a price above full
cost.
5) Profit-volume analysis is facilitated by the use break even charts and profit-
volume graphs, and so on.
6) The analysis of per key factor or limiting resources is a useful aid in budgetingand production planning.
7) Pricing decisions can be based on the contribution levels of individual
product.
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8) The profit and loss statement is not distorted by changes in stock levels.
Stock valuations are not burdened with a share of fixed overhead, so profits reflect
sales volume rather than production volume.
9) Responsibility accounting is more effective when based on marginal costing
because managers can identify their responsibilities more clearly when fixed
overhead is not charged arbitrarily to their departments or division.
Criticism against Marginal costing:
1) Difficulty may be experienced in trying to separate fixed and variable
elements of overhead costs. Unless this can be done with reasonable accuracy,marginal costing cannot be very accurate. Application of common sense and
judgment will be necessary.
2) The misuse of marginal costing approach may result in setting selling prices
which do not aloe for the full recovery of overhead. This may be most likely in
times of depression or increasing competitors when prices set to undercut
competitors may not allow for a reasonable contribution margin.
3) The main assumption of marginal costing is that variable cost per unit will be
same at any level of activity. This is partly true within a limited range of activity.
With a major change in activity there may be considerable change in the rates and
prices of men, material due to shortage of material, shortage of skilled labour,
concessions of bulk purchase, increased transportation costs, changes in production
of men and materials etc.
4) The assumption that fixed costs remain constant in total regardless of changes
in volume will be correct up to a certain level of output. Some fixed costs are liable
to change from one period to another. For example, salaries bill may go up because
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of annual increment or due to change in the pay rates and due to pay structure. If
there is a substantial drop in activity, management may take immediate action to
cut the fixed costs by retrenchment of staff, renting office-premises, warehouse
taken lease may be given up etc.
5) Exclusion of fixed overheads from costs may lead to erroneous conclusions. It
may create problems in inter firm comparison, higher demand for salaries and
other benefits by employees, higher demand for tax by Government authorities etc.
6) The exclusion of fixed overhead from inventory cost does not constitute an
accepted accounting procedure and, therefore, adherence to marginal costing will
involve deviation from accepted accounting practices.
7) Increased automation and mechanization has resulted the reduction in labour
costs and increased fixed costs like installation, maintenance and operation costs,
depreciation of machinery. The use of marginal costing creates a tendency to
disregard the need to recover cost through product pricing. For long-run continuity
of the business, it is not good. Assets have to be replaced in the long-run.
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Advantages and Disadvantages of Marginal Costing
Advantages
1. Marginal costing is simple to understand.
2. By not charging fixed overhead to cost of production, the effect of varying
charges per unit is avoided.
3. It prevents the illogical carry forward in stock valuation of some proportion
of current years fixed overhead.
4. The effects of alternative sales or production policies can be more readilyavailable and assessed, and decisions taken would yield the maximum return to
business.
5. It eliminates large balances left in overhead control accounts which indicate
the difficulty of ascertaining an accurate overhead recovery rate.
6. 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.
7. 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.
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Disadvantages
1. The separation of costs into fixed and variable is difficult and sometimes
gives misleading results.
2. Normal costing systems also apply overhead under normal operating volume
and this shows that no advantage is gained by marginal costing.
3. 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.
4. Volume variance in standard costing also discloses the effect of fluctuating
out put on fixed overhead. Marginal cost data becomes unrealistic in case of highly
fluctuating levels of production, e.g., in case of seasonal factories.
5. Application of fixed overhead depends on estimates and not on the actual
and as such there may be under or over absorption of the same.
6. Control affected by means of budgetary control is also accepted by many. Inorder 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.
7. In practice, sales price, fixed cost and variable cost per unit may vary. Thus,
the assumptions underlying the theory of marginal costing sometimes becomesunrealistic. For long term profit planning, absorption costing is the only answer.
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Limitations of Marginal Costing
Marginal costing however, suffers from the following limitations:
1. Marginal costing assumes that all costs can be classified into fixed andvariables. But there may be certain costs which are neither fixed nor variable.
2. The application of marginal costing in certain industries such as ship
building, construction, etc. may show no profit or loss during the year work is in
progress, but huge profit in the year the work is completed. This is due to non-
inclusion of overheads in the value of closing work-in-progress.
3. In the long run, true selling price should be based on total cost i.e., inclusive
of fixed cost also. In the short run or in special situations when a product is sold
below the total cost, customers may insist on the continuation of reduced prices
forever and this may not be possible in all cases.
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ELEMENT OF DECISION MAKING
Decision making involves choice between alternatives. Many quantitative and
Qualitative factors have to be taken into account in decision making. The term cost
is very elusive; it has different meanings in different situations. A cost accountant
examines each situation in depth to decide the kind of cost concepts to be used and
plays an important role in decision making by making precise and relevant data
available to management. In cost studies , a cost accountant should always
consider four points foe decision making:
he must establish why a choice us necessary
he must separately analyze each available alternative
A QUANTITATIVE DECISION PROBLEM INVOLVES SIX PARTS:
a) An objective that can be quantified Sometimes referred to as 'choicecriterion' or 'objective function', e.g. maximisation of profit or minimisation of total
costs.
b) Constraints Many decision problems have one or more constraints, e.g.
limited raw materials, labour, etc. It is therefore common to find an objective that
will maximise profits subject to defined constraints.
c) A range of alternative courses of action under consideration. For example, in
order to minimise costs of a manufacturing operation, the available alternatives
may be:
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i) to continue manufacturing as at present
ii) to change the manufacturing method
iii) to sub-contract the work to a third party.
d) Forecasting of the incremental costs and benefits of each alternative course
of action.
e) Application of the decision criteria or objective function, e.g. the calculation
of expected profit or contribution, and the ranking of alternatives.
f) Choice of preferred alternatives.
RELEVANT COSTS FOR DECISION MAKING
The costs which should be used for decision making are often referred to as
"relevant costs". CIMA defines relevant costs as 'costs appropriate to aiding the
making of specific management decisions'.
To affect a decision a cost must be:
a) Future: Past costs are irrelevant, as we cannot affect them by current
decisions and they are common to all alternatives that we may choose.
b) Incremental: ' Meaning, expenditure which will be incurred or avoided as a
result of making a decision. Any costs which would be incurred whether or not the
decision is made are not said to be incremental to the decision.
c) Cash flow: Expenses such as depreciation are not cash flows and are therefore
not relevant. Similarly, the book value of existing equipment is irrelevant, but the
disposal value is relevant.
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Other terms:
d) Common costs: Costs which will be identical for all alternatives areirrelevant, e.g. rent or rates on a factory would be incurred whatever products are
produced.
e) Sunk costs: Another name for past costs, which are always irrelevant, e.g.
dedicated fixed assets, development costs already incurred.
f) Committed costs: A future cash outflow that will be incurred anyway,
whatever decision is taken now, e.g. contracts already entered into which cannot be
altered.
Opportunity cost
Relevant costs may also be expressed as opportunity costs. An opportunity cost is
the benefit foregone by choosing one opportunity instead of the next best
alternative.
Example
A company is considering publishing a limited edition book bound in a special
leather. It has in stock the leather bought some years ago for $1,000. To buy an
equivalent quantity now would cost $2,000.
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The company has no plans to use the leather for other purposes, although it has
considered the possibilities:
a) of using it to cover desk furnishings, in replacement for other material which
could cost $900
b) of selling it if a buyer could be found (the proceeds are unlikely to exceed
$800).
In calculating the likely profit from the proposed book before deciding to go ahead
with the project, the leather would not be costed at $1,000. The cost was incurred
in the past for some reason which is no longer relevant. The leather exists and
could be used on the book without incurring any specific cost in doing so. In using
the leather on the book, however, the company will lose the opportunities of either
disposing of it for $800 or of using it to save an outlay of $900 on desk
furnishings.The better of these alternatives, from the point of view of benefiting
from the leather, is the latter.
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THE BASIC DECISION MAKING INDICATORS IN MARGINALCOSTING
• PROFIT VOLUME RATIO
• BREAK- EVEN POINT
• CASH VOLUME PROFIT ANALYSIS
• MARGIN OF SAFETY
• INDIFFERENCE POINT
• SHUT – DOWN POINT
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PROFIT
VOLUME
RATIO
BREAK- EVEN
POINT
CASH VOLUME
PROFIT
ANALYSIS
MARGIN OF
SAFETY
INDIFFERENCE
POINT
SHUT – DOWN
POINT
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PROFIT VOLUME RATIO (P V RATIO )
The profit volume ratio is the relationship between the Contribution and Sales
value.It is also termed as Contribution to Sales Ratio
FORMULA :
P V Ratio = Contribution X 100
Sales
SIGNIFICANCE OF PV RATIO
• It is considered to be the basic indicator of profitability of business.
• The higher the PV Ratio, the better it is for the business. In the case of the
firm enjoying steady business conditions over a period of years, the PV Ratio will
also remain stable and steady.
• If PV Ratio is improved, it will result in better profits.
IMPROVEMENT OF PV RATIO
• By reducing the variable costs.
• By increasing the selling price
• By increasing the share of products with higher PV Ratio in the overall sales
mix. (where a firm produces a number of products)
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USE OF PV RATIO
• To compute the variable costs for any volume of sales
• To measure the efficiency or to choose a most profitable line. The overall
profitability of the firm can be improved by
INCREASING THE SALES/OUTPUT OF PRODUCT GIVING A HIGHER
PV RATIO.
• To determine the Break – Even Point and the level of output required to earn
a desired profit.
• To decide the most profitable sales – mix.
BREAK – EVEN ANALYSIS
• Break-Even Analysis is a mathematical technique for analyzing the
relationship between sales and fixed and variable costs. Break-even analysis is also
a profit-planning tool for calculating the point at which sales will equal total costs.
• The break-even point is the intersection of the total sales and the total cost
lines. This point determines the number of units produced to achieve breakeven.
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• The analysis generally assumes linearity (100% variable or 100% fixed) of
costs. If a firm’s costs were all variable, the firm could be profitable from the start.
If the firm is to avoid losses, its sales must cover all costs that vary directly with
production and all costs that do not change with production levels.
• Fixed costs are those expenses associated with the project that you would
have to pay whether you sold one unit or 10,000 units. Examples include general
office expenses, rent, depreciation, interest, salaries, research and development,
and utilities. Variable costs vary directly with the number of units that you sell.
Examples include materials, direct labour, postage, packaging, and advertising.
Some costs are difficult to classify. As a general guideline, if there is a direct
relationship between cost and number of units sold, consider the cost variable. If
there is no relationship, then consider the cost fixed.
• A break-even chart is constructed with a horizontal axis representing units
produced and a vertical axis representing sales and costs.
Represent fixed costs by a horizontal line
since they do not change with the number
of units produced. Represent variable
costs and sales by upward sloping lines
since they vary with the number of units
produced and sold. The break-even point
is the intersection of the total sales and the total
cost lines. Above that point, the firm begins to make a profit, but below that point, it suffers a loss. Here is a sample break-even chart:
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The algebraic equation for break-even analysis consists of four factors. If you
know any three of the four, you can solve for the fourth factor. You calculate the
break-even amount with the following equation:
Sales Price per Unit * Quantity Sold = Fixed Costs + [Variable Costs per Unit *
Quantity Sold]
For example, assume you have total fixed monthly costs of $1200 and total
variable costs of $6 per unit. If you could sell the units for $ 10 each, the equation
indicates that you need to sell 300 units to break even. If you knew you could sell
400 units, the equation would indicate that the sales price would need to be $9 per
unit to break even.
• When managing inventory, you should aim for the Economic Order Quantity
(EOQ). This is the level of inventory that balances two kinds of inventory costs:
holding (or carrying) costs, which increase with the amount of inventory ordered,
and order costs, which decrease with the amount ordered.
• The largest components of holding costs for most companies are the cost of
space to store the inventory and the cost of tying up capital in inventory. Other
components include the labour costs associated with inventory maintenance and
insurance costs. Also include deterioration, spoilage, and obsolescence costs. The
costs of more frequent orders include lost discounts for larger quantity purchases
and labour and supply costs of writing the orders. Additional costs include paying
the bills and processing the paperwork, associated telephone and mail costs, and
the labour costs of processing and inspecting incoming inventory.
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• EOQ is the size of order that minimizes the total of holding and ordering
costs. The algebraic expression of EOQ is as follows:
EOQ = square root of [2*U*O divided by H] where U is the number of units used
annually, O is the order cost per order, and H is the holding cost per unit.
For example, assume you use 40,000 units annually, it costs $50 to place an order,
and it costs $20 to hold the raw materials for one unit. The equation yields an
amount of 447, which is the number of units you need to order at one time to
minimize total costs.
The reorder point, or Economic Order Point (EOP), tells you when to place an
order. Calculating the reorder point requires you to know the lead time from
placing to receiving an order. You compute it as follows:
EOP = Lead time * Average usage per unit of time
For example, assume you need 6400 units evenly throughout the year, there is a
lead time of one week, and there are 50 working weeks in the year. You calculate
the reorder point to be 128 units as follows.
1 week * [6400 units / 50 weeks] = 128 units
You might also consider “ Just In Time” inventory management, if available and
appropriate. “Just In Time” allows you to keep minimal inventory in stock. You
only order when you make a sale. Carefully analyze the time lag. You must be able
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to satisfy the customer as well as keep your inventory investment minimized.
USE OF BEP ANALYSIS IN CAPITAL BUDGETING
Break even analysis is a special application of sensitivity analysis. It aims at
finding the value of individual variables which the project’s NPV is zero. In
common with sensitivity analysis, variables selected for the break even analysis
can be tested only one at a time.
The break even analysis results can be used to decide abandon of the project if
forecasts show that below break even values are likely to occur.
In using break even analysis, it is important to remember the problem associated
with sensitivity analysis as well as some extension specific to the method:
• Variables are often interdependent, which makes examining them each
individually unrealistic.
• Often the assumptions upon which the analysis is based are made by using
past experience / data which may not hold in the future.
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• Variables have been adjusted one by one; however it is unlikely that in the
life of the project only one variable will change until reaching the break even point.
Management decisions made by observing the behaviour of only one variable are
most likely to be invalid.
• Break even analysis is a pessimistic approach by essence. The figures shall
be used only as a line of defence in the project analysis.
Limitations Of BEP Analysis
• Break-even analysis is only a supply side (i.e. costs only) analysis, as it tells
you nothing about what sales are actually likely to be for the product at these
various prices.
• It assumes that fixed costs (FC) are constant
• It assumes average variable costs are constant per unit of output, at least in
the range of likely quantities of sales. (i.e. linearity)
• It assumes that the quantity of goods produced is equal to the quantity of
goods sold (i.e., there is no change in the quantity of goods held in inventory at the
beginning of the period and the quantity of goods held in inventory at the end of
the period).
• In multi-product companies, it assumes that the relative proportions of each
product sold and produced are constant (i.e., the sales mix is constant).
COST VOLUME PROFIT ANALYSIS
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• Analysis that deals with how profits and costs change with a change in
volume. More specifically, it looks at the effects on profits of changes in such
factors as variable costs, fixed costs, selling prices, volume, and mix of products
sold.
• CVP analysis involves the analysis of how total costs, total revenues and
total profits are related to sales volume, and is therefore concerned with predicting
the effects of changes in costs and sales volume on profit. It is also known as
'breakeven analysis'.
• By studying the relationships of costs, sales, and net income, management is
better able to cope with many planning decisions. For example, CVP analysis
attempts to answer the following questions:
(1)What sales volume is required to break even?(2) What sales volume is
necessary in order to earn a desired (target) profit? (3) What profit can be expected
on a given sales volume? (4) How would changes in selling price, variable costs,
fixed costs, and output affect profits?(5) How would a change in the mix of
products sold affect the break-even and target volume and profit potential?
• Cost-volume-profit analysis (CVP), or break-even analysis, is used to
compute the volume level at which total revenues are equal to total costs. When
total costs and total revenues are equal, the business organization is said to be
"breaking even." The analysis is based on a set of linear equations for a straight
line and the separation of variable and fixed costs.
• Total variable costs are considered to be those costs that vary as the
production volume changes. In a factory, production volume is considered to be
the number of units produced, but in a governmental organization with no
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assembly process, the units produced might refer, for example, to the number of
welfare cases processed.
• There are a number of costs that vary or change, but if the variation is not
due to volume changes, it is not considered to be a variable cost. Examples of
variable costs are direct materials and direct labour. Total fixed costs do not vary
as volume levels change within the relevant range. Examples of fixed costs are
straight-line depreciation and annual insurance charges.
• All the lines in the chart are straight lines: Linearity is an underlying
assumption of CVP analysis. Although no one can be certain that costs are linear
over the entire range of output or production, this is an assumption of CVP.
• To help alleviate the limitations of this assumption, it is also assumed that
the linear relationships hold only within the relevant range of production. The
relevant range is represented by the high and low output points that have been
previously reached with past production. CVP analysis is best viewed within the
relevant range, that is, within our previous actual experience. Outside of that range,
costs may vary in a nonlinear manner. The straight-line equation for total cost is:
Total cost = total fixed cost + total variable cost
Total variable cost is calculated by multiplying the cost of a unit, which remains
constant on a per-unit basis, by the number of units produced. Therefore the total
cost equation could be expanded as:
Total cost = total fixed cost + (variable cost per unit number of units)
Total fixed costs do not change.
A final version of the equation is:
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Y = a + bx
where a is the fixed cost, b is the variable cost per unit, x is the level of activity,
and Y is the total cost. Assume that the fixed costs are $5,000, the volume of units
produced is 1,000, and the per-unit variable cost is $2. In that case the total cost
would be computed as follows:
Y = $5,000 + ($2 1,000) Y = $7,000
It can be seen that it is important to separate variable and fixed costs. Another
reason it is important to separate these costs is because variable costs are used to
determine the contribution margin, and the contribution margin is used todetermine the break-even point. The contribution margin is the difference between
the per-unit variable cost and the selling price per unit. For example, if the per-unit
variable cost is $15 and selling price per unit is $20, then the contribution margin
is equal to $5. The contribution margin may provide a $5 contribution toward the
reduction of fixed costs or a $5 contribution to profits. If the business is operating
at a volume above the break-even point volume (above point F), then the $5 is a
contribution (on a per- unit basis) to additional profits. If the business is operating
at a volume below the break-even point (below point F), then the $5 provides for a
reduction in fixed costs and continues to do so until the break-even point is passed.
• Once the contribution margin is determined, it can be used to calculate the
break-even point in volume of units or in total sales dollars. When a per-unit
contribution margin occurs below a firm's break-even point, it is a contribution to
the reduction of fixed costs. Therefore, it is logical to divide fixed costs by the
contribution margin to determine how many units must be produced to reach the
break-even point:
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• The financial information required for CVP analysis is for internal use and is
usually available only to managers inside the firm; information about variable and
fixed costs is not available to the general public. CVP analysis is good as a general
guide for one product within the relevant range. If the company has more than one
product, then the contribution margins from all products must be averaged
together. But, any cost-averaging process reduces the level of accuracy as
compared to working with cost data from a single product.
USES OF CVP ANALYSIS
a) Budget planning. The volume of sales required to make a profit (breakeven
point) and the 'safety margin' for profits in the budget can be measured.
b) Pricing and sales volume decisions.
c) Sales mix decisions, to determine in what proportions each product should
be sold.
d) Decisions that will affect the cost structure and production capacity of the
company.
THE BASIC PRINCIPLES OF CVP ANALYSIS
CVP analysis is based on the assumption of a linear total cost function (constant
unit variable cost and constant fixed costs) and so is an application of marginal
costing principles.
The principles of marginal costing can be summarised as follows:
a) Period fixed costs are a constant amount, therefore if one extra unit of
product is made and sold, total costs will only rise by the variable cost (the
marginal cost) of production and sales for that unit.
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b) Also, total costs will fall by the variable cost per unit for each reduction by
one unit in the level of activity.
c) The additional profit earned by making and selling one extra unit is the extra
revenue from its sales minus its variable costs, i.e. the contribution per unit.
d) As the volume of activity increases, there will be an increase in total profits
(or a reduction in losses) equal to the total revenue minus the total extra variable
costs. This is the extra contribution from the extra output and sales.
e) The total profit in a period is the total revenue minus the total variable cost
of goods sold, minus the fixed costs of the period.
MARGIN OF SAFETY
Margin of safety represents the strength of the business. It enables a business to
know that what is the exact amount he/ she has gained or loss over or below break
even point).
Margin of safety = (( sales - break-even sales) / sales) x 100% If P/V ratio is giventhen sales/pv ratio
In unit sales
If the product can be sold in a larger quantity that occurs at the breakeven point,
then the firm will make a profit; below this point, a loss. Break-even quantity is
calculated by:
Total fixed costs / (selling price - average variable costs). Explanation - in the
denominator, "price minus average variable cost" is the variable profit per unit, or
contribution margin of each unit that is sold.
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This relationship is derived from the profit equation: Profit = Revenues - Costs
where Revenues = (selling price * quantity of product) and Costs = (average
variable costs * quantity) + total fixed costs.
Therefore, Profit = (selling price * quantity) - (average variable costs * quantity +
total fixed costs).
Solving for Quantity of product at the breakeven point when Profit equals zero, the
quantity of product at breakeven is Total fixed costs / (selling price - average
variable costs).
Firms may still decide not to sell low-profit products, for example those not fittingwell into their sales mix. Firms may also sell products that lose money - as a loss
leader, to offer a complete line of products, etc. But if a product does not break
even, or a potential product looks like it clearly will not sell better than the
breakeven point, then the firm will not sell, or will stop selling, that product.
An example:
• Assume we are selling a product for $2 each.
• Assume that the variable cost associated with producing and selling the
product is 60 cents.
• Assume that the fixed cost related to the product (the basic costs that are
incurred in operating the business even if no product is produced) is $1000.
• In this example, the firm would have to sell (1000 / (2.00 - 0.60) = 715) 715
units to break even. in that case the margin of safety value of NIL and the value of
BEP is not profitable or not gaining loss.
Break Even = FC / (SP − VC)
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where FC is Fixed Cost, SP is selling Price and VC is Variable Cost
Significance:
• Up to the BEP, the contribution is earned is sufficient only to recover thefixed costs. However the beyond the BEP, the contribution is called the profit
• Profit is nothing but the contribution earned out of margin of safety of sales.
• The size of the margin of safety shows the strength of the business.
• A low margin of safety indicates the firm has a large fixed expenses and is
moiré vulnerable to changes.
• A high margin of safety implies that a slight fall in sales may not the
business very much.
IMPROVEMENTS IN MARGIN OF SAFETY:
The possible steps for improve the margin of safety.
• Increase in selling price, provided the demand is inelastic so as to absorb the
increased prices.
• Reduction in fixed expenses
• Reduction in variable expenses
• Increasing the sales volume provided capacity is available.
• Substitution or introduction of a product mix such that more profitable lines
are introduced.
Managerial decision making is an all pervasive functional area in the
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organization. The decision making process may involve various stages that lead
on into another. This may be over a long term or short term period.
There are a number of decision making situations that may involve the
application of management accounting principles Generally a marginal
accounting approach is taken since the decisions may only involve the
variable costs. However, where a decision may involve changes in the fixed
cost, this will have to be factored in.
1. LIMITING FACTOR
A limiting factor exist where a firm produces a number of items and is
confronted with a scare supply of a resource, such as raw material, or labour
supply. The main issue here is on deciding what is the best product mix,
given the scare resource.There are three main steps to be followed when
dealing with a limiting factor situation :
a. calculate the contribution per unit for each product
b. convert the contribution per unit for each product to contribution per unit
of the scarce resource
c. chose the product mix based on the higher contribution per unit of the
scarce resource.
However, aside from the higher contribution, the firm may have to take into
consideration such factors as the demand limitation, legal obligations, product
loss leader policy, etc
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2. MAKE OR BUY
The firm may be faced with the option of making its products, or to buy them
from an outside source. The main approach here is to decide which is the
more profitable option. Again the variable costs would be the first
consideration. However, the impact on the fixed costs should not be overlooked.
3. DROPPING A PRODUCT LINE
A firm that produces a number of products may be faced with a situation
where one of the products shows a net loss. Should this product be eliminated
?
4. SPECIAL ORDER
A special order situation exist when a client places an order for a supply of
goods at a rate outside the regular selling price. This is usually a one off
order, and should not conflict with the firm’s regular trading activities
5. SPECIAL PROJECT
Here the firm must chose from one or more projects, which in most cases it
is limited to only one. Incorporating the principles from capital budgeting,
we take a further look at the analysis of the projects.
NON FINANCIAL FACTORS
In making decisions, the firm should look beyond the profit line, and
incorporate such non financial factors as
- the impact of a decision on staff morale
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- the impact on quality and quantity of output
- competition in the market
- legal or contractual obligations
- impact of one product on the success of other products
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CONCLUSION
Marginal costing is very helpful in managerial decision making.Management's production and cost and sales decisions may be easily affected from
marginal costing. That is the reason, it is the part of cost control method of costing
accounting. Before explaining the application of marginal costing in managerial
decision making, we are providing little introduction to those who are new for
understanding this important concept.
Marginal Costing play a very important role in cost accounting. Which ishelp to known about the units which is may be in fixed and variable cost.