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PRESENTATION ON
Module-3
Cost Volume Profit Relationship
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Meaning
y Cost volume relationship is a technique for studying the
relationship between cost volume and profit.
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Definition:
According to Herman C. Heiser
The most significant single factor in profit planning of the
average business is the relationship between the volume of
business costs and profit.
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Profit Planning In CVPAnalysis
y Profitability of a business depend on volume of output, cost at
different level of output-both fixed and variable cost and sales.
y CVP analysis often assists in the development of detailed profit
plan by allowing management to manipulate the cost volume
profit relationship to determine the required sales volume needed
to achieve the desired profit.
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Formula:
Target profit(sales volume)=Fixed Cost +Desired Profit
contribution margin ratio
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y By manipulating CVP relationship management can determine the
sales volume corresponding to a desired profit.
y If the profit plan are feasible ,a complete budget might be
developed for this activity level.
y The required sales volume might be infeasible because of market
condition or because the required volume exceeds production or
service capacity, in which case management must lower its profit
objectives or consider other ways of achieving it
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Behavior of expenses in relation to volume
y Costs and revenues vary with different levels of activity (or
volume) is essential for decision making.
yActivity or volume may be measured:
Units of production or sales
Hours worked
Miles travelled
Patients seen
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Cont..
y Decisions :
What should be planned level of activity for next year?
Should we reduce the selling price to sell more units?
How do the costs and revenues of a hospital change if one
more patient is admitted to the hospital?
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Cont..
y Variability:
Fixed cost or period cost: A fixed cost tends to remain
unaffected by variations in volume of production
yFor Eg: rent , Deprecition, insurance on factory building, etc.
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Cont..
y Semi-fixed or Semi-variable cost: A cost which is partly
fixed and partly variable. Another type of semi- variable cost is step
cost.
y Variable cost: A cost which tends to vary directly with volume of
production.
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Sensitivity Analysis of CVPModel for changes in
Underlying Parameters
Current operating level 500 Units
Selling Price (Per unit) Rs .250
Variable (cost Per Unit) (60%) Rs .150
Contribution Margin (40%) Rs. 100
Fixed Cost Rs .35,000
Current Sales Rs .1,25,000
Now, one or more variables may be changed to see the effect on
profitability with help of CVP analysis.
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1.Changes in variable cost and sales volume
Present contribution margin Rs.100/unit
New contribution margin Rs.125/unit
Total existing contribution margin (500*100) 50,000
Total new contribution margin (450*125) 56,250
Increase in contribution margin 6,250
Reduce in variable cost from 150 to 125 by using less expensive
raw material may result in decrease in sales by 10%.
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2.Change in fixed cost and sales volume
Sales can be increased to 600 units by incurring additional
advertisement of Rs.12,000.
Existing sales (500*250) Rs. 1,25,000
New sales (600*250) Rs . 1,50,000
Increase in sales Rs.25,000
Increase in contribution margin (40% of 25,000) Rs. 10,000
Increase in fixed cost Rs. 12,000
Net decrease in profit Rs . 2,000
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3. Change in fixed cost ,variable costs and sales volume.
New variable cost / unit (Rs. 150+10% of Rs.250) Rs.175
New fixe cost (Rs35,000 -8,000) Rs. 27,000
New contribution margin (Rs. 250-175 ) Rs.75
Increase in sales (10%) 50 units
Total contribution (new)(550*75) Rs.41,250
Existing contribution (500*100) 50,000
Decrease in contribution 8,750
less:Decrease in fixed cost 8,000
Net decrease in profit 750
Company has proposal that sales staff may be paid a commission of
10% of sales instead of fixed salaries totaling Rs. 8,000.
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4.Change in selling price, fixed cost and sales volume :
New selling price (Rs.250- 10%) Rs.225
New contribution margin (Rs.225-150) Rs.75
New fixed cost (Rs.35,000 + 15,0000 Rs.50,000
New sales level (500+ 40%) 700 units
Total new contribution (700*Rs.75) Rs. 52,500
Total existing contribution (500*100) Rs.50,000
Increase in contribution Rs.25,000
Less: increase in fixed cost Rs.15,000
Decrease in net profit Rs12,500
Companys sales can be increased by 40% if
1) It reduces its S.P by 10%
2)It undertakes advertisement of Rs. 15,000
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5.Special pricing situation
Variable cost (per unit ) Rs.150
Additional variable cost 20
Desired profit (6,000/300) 20
Price to be quoted Rs.190
Order of 300 units
Additional variable cost Rs.20/unit
Desired profit is Rs.6,000
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Assumptions of CVPmodel
1. Constant sale price.
2. Costs is divided into fixed and variable.
3. Sales mix is constant.
4. Profits are calculated on variable costing basis.
5. Efficiency and productivity remain unchanged.
6. Influence of managerial policies will be constant.
7. Production and sales will be synchronized at all points of time.
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Utility model forDecision Making
y The CVP analysis has many applications in managerial decision
making:
1) CVP relationship enables management to predict profit over
wide range of volume.
2) In a lean business season, company has to determine the price
of the products very carefully.
3) Analysis of CVP relationship helps in decision making. There
are situation when management has to decide whether it should
add to its capacity or not.
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4) CVP analysis helps in profit planning in the following ways:
i. In estimating income at a particular sales level.
ii. To determine change in profit due to change in sales volume.
iii. To execute the idea of profit planning.
iv. To find out the sales required to meet proposed expenditure.