The
first law of any business enterprise is to make profit. If we eliminate profit,
the enterprise is also liable to be eliminated. The profits depend upon many
factors. The management must know the various factors that determine profit.
The important factors determining profit are selling price, sales volume,
variable cost per unit, fixed cost, sales mix etc. for analyzing the impact of
these factors on profit, some techniques are available. One of the important
techniques is C-V-P analysis.
C-V-P
analysis is an extension of marginal costing. It is used to evaluate how costs
and profits are affected by changes in the volume of production. When volume of
production changes, cost also changes. Consequently profit changes. Thus the
three factors – cost, volume and profit is known as cost volume profit analysis.
As per the CIMA official terminology, C-V-P analysis is defined as “ the study
of the effects on future profit of changes in fixed costs, variable cost, sales
price, quantity and mix “. Managers use this technique extensively to determine
the BEP and margin of safety.
OBJECTIVES AND USES OF C-V-P
ANALYSIS
C-V-P
analysis is the most important tool of profit planning due to the close
relationship among cost, volume and profit. There is a relation between volume
and cost per unit. The objectives or uses of C-V-P analysis are as follows:
1. To
forecast the profit accurately
2. To
help management in determining the pricing policies
3. To
evaluate the performance of the business
4. To
facilitate the preparation of flexible budgets
5. To
achieve cost control and cost reduction
6. To
help management in making decisions such as make or buy, shut down or not etc…
7. To
determine break even point
TECHNIQUES OF C-V-P ANALYSIS
There
are basic two techniques of C-V-P analysis. They are : (a) contribution margin
analysis, and (b) Break even analysis. The other technique is profit volume
analysis.
CONTRIBUTION
MARGIN ANALYSIS
By
analyzing the contribution margin, it is possible to study the relationship
among cost, volume and profit. For this, contribution margin ratio (profit
volume ratio) is to be computed. Here it is very essential to understand the
meaning of contribution margin or simply contribution.
CONTRIBUTION
Contribution
is a very important concept in marginal costing. It is the basis of decision
making and control. It is the profit in marginal costing. It refers to excess
of sales over variable cost. It is not the final profit. Contribution is also
known as “contribution margin” or “gross margin”.
Contribution
covers fixed cost and profit. If contribution is more than the fixed cost,
there is a profit. If contribution is less than fixed cost, there is a loss.
Contribution
can be expressed as ‘per unit’ or in ‘total’. Contribution per unit is the
difference between selling price per unit and the variable cost per unit. Total
contribution is the difference between total sales value and total variable
cost.
USES OF CONTRIBUTION
(IMPORTANCE)
Contribution
is a useful technique for planning and decision making. The following are the
advantage of contribution:
1. It
helps in fixing the selling price
2. It
enables to determine break even point
3. It
helps to find out the profitability of various products, departments etc.
4. It
guides the management in selecting the profitable product mix or method of
production
5. It
helps the management in taking make or buy decision
6. It
helps to determine the key factor
7. It
enables, the management decide whether to introduce a new product in the market
8. It
indicate the profit potential of a business enterprise
9. It
highlights the relationship among cost, sales and profit
MARGINAL COST EQUATION
We know that a sale is
equal to total cost plus profit. Total cost is equal to variable cost plus
fixed cost.
Contribution
= sales – variable cost
(Or)
Contribution
= fixed cost + profit
Fixed
cost = contribution – profit
Profit
= contribution – fixed cost
Variable
cost = sales – contribution
BREAK
EVEN ANALYSIS
Break
even analysis is the most widely used technique of cost volume profit analysis.
It establishes the relationship between cost and profit with sales volume. It
is a method of presenting and studying the inter relationship among cost,
volume of sales and profit at various levels of activity. The term break even
analysis is interpreted in narrow as well as broad sense. In its narrow sense,
it is concerned with finding out the break even point. BEP is the point at
which total sales revenue is equal to total cost. It is the point of no profits
no loss. In its broad sense, it means a system of analysis which is used to
determine the probable profit at different levels of activity. It shows the
behavior of cost and profit at varying levels of activity.
Car
Heyel defines break even analysis as “ a method for studying the relationship
among sales revenue, fixed costs and variable expenses as to determine the
minimum volume at which production so can be profitable “. The break even
analysis may be expressed in graph such as break even chart or in a form as
follows:
Marginal cost statement
Sales
xxx
Less : marginal
cost:
Direct material xxx
Direct labour xxx
Contribution
xxx
ASSUMPTIONS OF CVP
ANALYSIS
CVP
is based on the following assumptions:
1. All
costs can be separated into fixed and variable elements
2. Variable
costs vary in direct proportion to volume of output
3. Fixed
cost will remain constant at all volumes of output
4. Selling
price per unit remains constant
5. In
the case of multiple products, sales mix remains constant
6. Productivity
per worker and efficiency of plant etc…remain unchanged
7. The
general price level does not change
8. The
firm is able to sell all the units produced
9. The
only factor that affects costs and revenues its volume.
ADVANTAGES
OR USES OF CVP ANALYSIS
Following
are the important uses or applications of CVP analysis from the management
point of view:
1. It
is useful in forecasting sales and profit
2. It
helps in the inter – firm comparison of profitability
3. It
brings out the effect of increase or decrease in fixed and variable costs on
profit
4. It
helps to determine the selling price which gives a desired profit
5. It
helps to find out the volume of sales which gives a desired return on capital
employed
6. It
is useful for determining costs and revenue at different levels of activity
7. It
is used in profit planning
8. It
is used to determine margin of safety
9. It
can be used to study the comparative plant efficiencies of the industry
10.It
is applied in make or buy decision
11.It
assists in the formulation of price policies
12.It
serves as a useful tool for cost control
LIMITATIONS OF CVP ANALYSIS
1. It
is very difficult or impossible to separate costs into fixed and variable
2. It
assumes that fixed costs remain fixed for any level of production. But actually
it will remain fixed only up to a certain level of activity
3. It
assumes that variable costs vary in direct proportion to volume of production.
But the variable cost need not necessarily vary in direct proportion of output
4. The
assumption that only one product is produced or that sales mix remains constant
is difficult to find in actual life
5. When
a number of products are manufactured, separate break even charts may be
prepared for individual products. This necessitates the apportionment of fixed
costs on an arbitrary basis
6. The
assumption that selling price remains constant is not valid
7. Break
even analysis completely ignores the capital employed in business
8. It
has limited application in the long range planning
9. It
ignores marketing aspects and effects of government policies etc..which are
necessary in decision making
10.It
is difficult to handle selling such as advertisement and sales promotion in
break even analysis
11.Semi
– variable costs are completely ignored
12.It
measures the relationship among cost, volume and profit at a given point of
time. Thus it is a static analysis
BREAK EVEN POINT
The
calculation of B.E.P is the foundation stone of break even analysis. Break even
point is the point or level of activity at which the total cost is equal to
total revenue. It is the point of no profits no loss. Thus it is equilibrium or
balancing point. It is the point at which losses cease and profits begin. If
sales go up beyond the BEP, firm makes a profit. If they come down firm incurs
a loss.
CALCULATION OF BREAK
EVEN POINT
There
are two methods of calculating B.E.P. They are: (1) Algebraic method and (2)
Graphic method (B.E.P chart)
Algebraic method:
Under algebraic method B.E.P is ascertained by using
mathematical formula. The B.E.P can be in terms of ‘units’ or in terms of
‘rupee value’ or as a ‘percentage’ of installed capacity.
B.E.P
in Units: The
following formula is used:
BEP output (units) =
fixed expenses/contribution per unit
B.E.P
in Rupees: The
following formula is used:
BEP sales (rupees) = (fixed
expenses*sales)/contribution
B.E.P
in percentage of capacity: sometimes BEP is expressed
as a percentage of installed or estimated capacity. It is calculated as
follows:
(B.E.P
sales / capacity sales)*100
(OR)
(Fixed
cost / total contribution at estimated capacity)*100
Special
notes to BEP :
|
SL
NO
|
SITUATION
|
FORMULA
|
|
1
|
Calculation of output to earn desired
amount of profit
|
(F+P)/C per unit
|
|
2
|
Calculation of sales value (rupee) to
earn a desired profit
|
[(F+P)/c]*S
|
MARGIN OF SAFETY
The
management may be interested in knowing the extent by which the sales is above
the BEP. This is called margin of safety. It is the excess of actual or present
sales over the BEP sales. It refers to the amount by which sales revenue can
fall before a loss is incurred. It indicates the strength or weakness of an
enterprise. A large margin of safety indicates the soundness of the business.
It may be expressed in units, sales revenue or as a percentage of sales.
Margin of safety
= present sales – BEP sales
If
it is to be expressed as a percentage of sales, the following formula is used:
Margin of safety
= [(actual sales – BEP sales) / actual sales] *100
PROFIT
VOLUME RATIO
As
already stated P/V ratio (contribution margin analysis) is a technique of cost
volume profit analysis. It is the ratio of contribution to sales. It shows the
relationship between contribution and sales. Here volume means sales volume.
P/V ratio is computed as follows:
P/V
ratio = contribution / sales
USES
OF P/V RATIO
1. It
helps in comparing the profitability of various products. A high P/V ratio
indicates high profitability and a low P/V ratio is a sign of low
profitability.
2. With
the help of P/V ratio, the management can estimate sales, profit and variable
cost of future operations
3. It
is useful in determining pricing policy and other managerial policies when
there are ‘key factors’
4. It
is an important tool in managerial decision making. Profitability of product
lines, product mix, production techniques etc… are measured by comparing their
P/V ratio
5. It
helps in the determination of B.E.P. The formula is
BEP = fixed
expenses / P/V ratio
Hence fixed
expenses = BEP * P/V ratio
6. It
helps in determining sales volume required to earn a given profit. The formula
is:
(Fixed expenses=profit) / P/V ratio
7. It
helps in calculating margin of safety. The formula is:
Margin of safety = profit / P/V ratio
(Or)
(Profit *
sales) / Contribution
8. It
helps in calculating profit at any volume of sales. The formula is:
Profit
= sales volume * P/V ratio = contribution – fixed cost
9. It
helps in determining the required selling price per unit. The formula is:
Selling price = variable cost per unit / (100-P/V
ratio)
10.It
helps in ascertaining the variable cost for any volume of sales
CVP ANAYSIS ON
INDIAN TYRE INDUSTRY
(5 SELECTED COMPANIES)
For the analysis of CVP I select five popular
companies in the Indian tyre industry which are as follows:-
1)
Apollo tyres
2)
Falcon tyres
3)
J K tyres
4)
Ceat tyres
5)
MRF tyres
|
|
APOLLO
TYRES
The
C-V-P regarding data of the Apollo tyre company is explained below:-
|
INFERENCES:
· The company sale in increasing year
by year whereas the variable cost of the company in not proportionately
changing
· The highest contribution for the
company was in 2010 which is because of the variable cost amount is
comparatively less to its sales
· The profit of the company is
declining because the fixed costs are increasing and contribution is decreasing
· In 2011 profit goes to a negative
figure because the both costs are increasing at its most peaking way
· The highest benefit for the company
shows during the year 2010 as the margin of safety is in the highest point
FALCON
TYRES
The
detailed analysis report of C-V-P regarding the company Falcon tires are given
below:-
|
FALCON TYRES
|
2007
|
2008
|
2009
|
2010
|
2011
|
|
total sales
|
32365
|
49854
|
85485
|
84953
|
97819
|
|
total variable cost
|
54741.83
|
58897.7
|
151376
|
157679
|
188306.8
|
|
Total fixed cost
|
7867.6
|
8515
|
11279
|
15696
|
17632
|
|
CONTRIBUTION
|
-22376.83
|
-9043.7
|
-65891
|
-72726
|
-90487.8
|
|
PROFIT
|
-30244.43
|
-17558.7
|
-77170
|
-88422
|
-108119.8
|
|
P/V RATIO
|
-69.13897729
|
-18.1403699
|
-77.0790197
|
-85.607335
|
-92.505341
|
|
BEP
|
-113.7939887
|
-469.39506
|
-146.330350
|
-183.34877
|
-190.60521
|
|
MARGIN OF SAFETY
|
437.4439887
|
967.9350595
|
1001.180351
|
1032.87877
|
1168.79521
|
INFERENCES:
· The sales of the company is
consistently growing except in the year 2010 and the growth movement of
variable cost is supporting the sales
· The basic problem in the company is
it is always showing a negative figure for the p/v ratio value and it leads the
calculation of BEP also to a negative value
· The company is going for a high loss
year by year and not shows not even a single figure for as profit during the
study years
· The cost structure of the company
should improve and re modification is very necessary to reduce the loss of the
company
JK TYRES
the
data analysis report of JK tyres according to C-V-P analysis shows the
following results:-
|
J K TYRES
|
2007
|
2008
|
2009
|
2010
|
2011
|
|
total sales
|
319571
|
549032
|
395629
|
524757
|
613102
|
|
total variable cost
|
268904
|
456443
|
294466
|
456064
|
508551
|
|
Total fixed cost
|
46509
|
62164
|
49700
|
53199
|
56621
|
|
CONTRIBUTION
|
50667
|
92589
|
101163
|
68693
|
104551
|
|
PROFIT
|
4158
|
30425
|
51463
|
15494
|
47930
|
|
P/V RATIO
|
15.8546927
|
16.86404435
|
25.57016801
|
13.09044
|
17.0527906
|
|
BEP
|
2933.453261
|
3686.185751
|
1943.671234
|
4063.95814
|
3320.33633
|
|
MARGIN OF SAFETY
|
262.2567387
|
1804.134249
|
2012.618766
|
1183.61186
|
2810.68367
|
INFERENCES:
· The
growth and sales of JK tyres shows a good cost system adoption by the company.
·
The total fixed cost of the company is
fluctuating at a reasonable rate only and the variable cost changes are almost
purely according to the sales of the company
·
The highest BEP for the company showed
at 4063.95814 during the year 2010
· The
best performance of the company is during 2011 at a highest margin of safety of
2810.68367 and the lowest performance on the basis of margin of safety shows
during the year 2007
CEAT TYRES
The analyzed report of C-V-P of the
company Ceat tyres are shown below:-
|
CEAT TYRES
|
2007
|
2008
|
2009
|
2010
|
2011
|
|
total sales
|
213477.81
|
260296.57
|
280747.6
|
346892.25
|
479234.31
|
|
total variable cost
|
199945.81
|
211300.35
|
238997.99
|
341066.89
|
411878.44
|
|
Total fixed cost
|
32567
|
31506.23
|
32956.06
|
32816.29
|
52273.24
|
|
CONTRIBUTION
|
13532
|
211300.35
|
41749.61
|
5825.36
|
67355.87
|
|
PROFIT
|
-19035
|
179794.12
|
8793.55
|
-26990.93
|
15082.63
|
|
P/V RATIO
|
6.338832125
|
81.17677079
|
14.87086978
|
1.67929955
|
14.0548931
|
|
BEP
|
5137.697191
|
388.1187893
|
2216.148786
|
19541.6535
|
3719.22003
|
|
MARGIN OF SAFETY
|
-3002.919091
|
2214.846911
|
591.3272143
|
-16072.731
|
1073.12307
|
INFERENCES:
·
The sales of the company are
consistently growing by considering any cost factors and the variable cost is
also perfectly following the sales of the company.
· The
fluctuations in the fixed costs are absolutely reasonable towards the company
except in some cases
· The
company is suffering from contribution losses because of its increased fixed
costs and declining of contribution
·
The highest margin of safety which shows
highest soundness of the company shows during 2008 and 2 years 2007 and 2010 shows
even negative figures which denotes the high problems because of losses
MRF TYRES
MRF is the biggest and sound company in
the Indian tyre industry and the market leaders of the tyre industry is also
MRF tyre company. The company is enjoying high cost profit along with the
financial profit and by the study it is understood that company is having a
very good cost control and ascertainment system. The details of cost C-V-P of
the company is shown below:-
|
MRF TYRES
|
2007
|
2008
|
2009
|
2010
|
2011
|
|
total sales
|
505420
|
573163
|
616406
|
810431
|
1064486
|
|
total variable cost
|
434904
|
499866
|
480185
|
688997
|
956437
|
|
Total fixed cost
|
53526
|
62641
|
74082
|
85010
|
95163
|
|
CONTRIBUTION
|
70516
|
499866
|
136221
|
121434
|
108049
|
|
PROFIT
|
16990
|
437225
|
62139
|
36424
|
12886
|
|
P/V RATIO
|
13.95196075
|
87.21184026
|
22.0992333
|
14.9838789
|
10.1503449
|
|
BEP
|
3836.450014
|
718.262564
|
3352.242994
|
5673.43078
|
9375.34648
|
|
MARGIN OF SAFETY
|
1217.749986
|
5013.367436
|
2811.817006
|
2430.87922
|
1269.51352
|
INFERENCES:
·
The sales of the company is showing very
high consistency and growth in the industry
· The
variable cost of the company is going perfectly proportionate to the sales of
the company and the fixed costs are fluctuating at very quiet reasonable manner
· The
profits of the company is very high compared to the other companies in the
industry and highest cost profit shows during 2008
·
The company is enjoying very good
soundness and the highest margin of safety shows during the year 2008 shows the
ever record growth in the industry.
TYRE INDUSTRY AS A WHOLE
The Indian tyre industry deserves a
lot of appreciations as they are effectively controlling the demands for the
tyres with there supplies. The Indian tyre industry consists of very few
sellers which can be counted in fingers. And for this cost study I select the
best market leaders of the same industry and the following table and inferences
pointed out the overall cost ascertainment and controlling efficiency of the
industry as a whole.
|
APPOLLO TYRES
|
FALCON TYRES
|
JK TYRES
|
CEAT TYRES
|
MRF TYRES
|
|
|
2007
|
|||||
|
total sales
|
478121.5
|
32365
|
319571
|
213478
|
505420
|
|
total variable cost
|
355275
|
54741.83
|
268904
|
199946
|
434904
|
|
Total fixed cost
|
76395.9
|
7867.6
|
46509
|
32567
|
53526
|
|
CONTRIBUTION
|
122846.5
|
-22376.83
|
50667
|
13532
|
70516
|
|
PROFIT
|
46450.6
|
-30244.43
|
4158
|
-19035
|
16990
|
|
P/V RATIO
|
25.693574
|
-69.13898
|
15.85469
|
6.33883
|
13.95196
|
|
BEP
|
2973.3466
|
-113.794
|
2933.453
|
5137.7
|
3836.45
|
|
MARGIN OF SAFETY
|
1807.8684
|
437.444
|
262.2567
|
-3002.92
|
1217.75
|
|
2008
|
|||||
|
total sales
|
424698.3
|
49854
|
549032
|
260297
|
573163
|
|
total variable cost
|
327429.1
|
58897.7
|
456443
|
211300
|
499866
|
|
Total fixed cost
|
53535.5
|
8515
|
62164
|
31506.2
|
62641
|
|
CONTRIBUTION
|
97269.2
|
-9043.7
|
92589
|
211300
|
499866
|
|
PROFIT
|
43733.7
|
-17558.7
|
30425
|
179794
|
437225
|
|
P/V RATIO
|
22.903129
|
-18.14037
|
16.86404
|
81.1768
|
87.21184
|
|
BEP
|
2337.4754
|
-469.3951
|
3686.186
|
388.119
|
718.2626
|
|
MARGIN OF SAFETY
|
1909.5076
|
967.9351
|
1804.134
|
2214.85
|
5013.367
|
|
2009
|
|||||
|
total sales
|
454963.2
|
854850
|
395629
|
280748
|
616406
|
|
total variable cost
|
364093.2
|
151376
|
294466
|
238998
|
480185
|
|
Total fixed cost
|
68096.1
|
11279
|
49700
|
32956.1
|
74082
|
|
CONTRIBUTION
|
90870
|
703474
|
101163
|
41749.6
|
136221
|
|
PROFIT
|
22773.9
|
692195
|
51463
|
8793.55
|
62139
|
|
P/V RATIO
|
19.973044
|
82.2921
|
25.57017
|
14.8709
|
22.09923
|
|
BEP
|
3409.4002
|
137.0605
|
1943.671
|
2216.15
|
3352.243
|
|
MARGIN OF SAFETY
|
1140.2318
|
8411.439
|
2012.619
|
591.327
|
2811.817
|
|
2010
|
|||||
|
total sales
|
850982
|
84953
|
524757
|
346892
|
810431
|
|
total variable cost
|
499113.5
|
157679
|
456064
|
341067
|
688997
|
|
Total fixed cost
|
272757.5
|
15696
|
53199
|
32816.3
|
85010
|
|
CONTRIBUTION
|
351868.5
|
-72726
|
68693
|
5825.36
|
121434
|
|
PROFIT
|
79111
|
-88422
|
15494
|
-26990.9
|
36424
|
|
P/V RATIO
|
41.348524
|
-85.60734
|
13.09044
|
1.6793
|
14.98388
|
|
BEP
|
6596.5474
|
-183.3488
|
4063.958
|
19541.7
|
5673.431
|
|
MARGIN OF SAFETY
|
1913.2726
|
1032.879
|
1183.612
|
-16072.7
|
2430.879
|
|
2011
|
|||||
|
total sales
|
600095.6
|
97819
|
613102
|
479234
|
1064486
|
|
total variable cost
|
505254.7
|
188306.8
|
508551
|
411878
|
956437
|
|
Total fixed cost
|
100575.8
|
17632
|
56621
|
52273.2
|
95163
|
|
CONTRIBUTION
|
94840.9
|
-90487.8
|
104551
|
67355.9
|
108049
|
|
PROFIT
|
-5734.9
|
-108119.8
|
47930
|
15082.6
|
12886
|
|
P/V RATIO
|
15.804299
|
-92.50534
|
17.05279
|
14.0549
|
10.15034
|
|
BEP
|
6363.8256
|
-190.6052
|
3320.336
|
3719.22
|
9375.346
|
|
MARGIN OF SAFETY
|
-362.86963
|
1168.795
|
2810.684
|
1073.12
|
1269.514
|
INFERENCES:
· The MRF Company is the highest
performing company in the industry of tyres for the last so many years.
· The Falcon tyres is one of the
suffering company in the industry during my period of study
· The overall performance of the
industry at its cost aspects shows that the industry is doing well but
according to there full capacity
· The cost system adopting by the
companies should improve and tried to maintain an effective cost audit system
to avoid the manipulations and mistakes in the cost related statements, actions
and thereby the performance of the company.
· Even some companies are showing
negative figures also as margin of safety, which shows the weakness of the
company. The margin of safety will exactly shows the cost strength of the
company in terms of P/V ratio and profit
of the company.
· The basic reasons for the cost losses
in companies are due to high fixed cost expenses. As tyre industries are fully
manufacturing units and highly fixed assets oriented the items under fixed
expenses are also showing big amounts which cannot be satisfied with the
contribution of the company
· The variable cost of tyre industry is
mostly depends upon the rubber prices and availability. If any deficiency
occurred for the rubber according to its demand the variable cost will goes to
a high amount which cannot be satisfy with the sales increase which will cause
to reduction in contribution and again cause to a loss.
CONCLUSION
The
tyre industry in India is performing well in the country but cannot be said as
they are working in there at most efficiency. The companies in selected for the
study shows that the industry is some what doing well as far as cost details
are concern. The basic problems facing by the industry is the price changes in
raw material rubber and the deficiencies in the raw materials implicate the
basic reason for increasing the variable costs of the industry and through
companies go to losses. The second basic reason is that the fixed cost
problems, as this tyre industry is fully concentrating high-tech machines and
fixed assets it will increase the cost elements to a great extent also driving
the company to cost loss. The companies are showing profit in financial reports
and showing losses in cost statements are because of in financial statements
companies are accounting so many revenues beyond the sales revenue.
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