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Accounting for Managers




                    Notes


                                     Caselet     Cost-Volume-Profit Analysis

                                     N. R. Parasuraman
                                     ONE issue of paramount interest to management is the impact of costs and volume on
                                     profits. If a linear relationship could be established among costs, volume and profits, it
                                     would help decision-makers to figure out the right volume, the right cost and consequently
                                     the right profit.
                                     That  profit is  the  difference  between sales  turnover  (in  value)  and  cost is  common
                                     knowledge. Sales turnover equals sale price per unit multiplied by the number of units.
                                     This means that sales turnover goes up with higher volume and comes down with lower
                                     volume. One also knows intuitively that total cost rises with higher volume and falls with
                                     lower volume, but the extent of this movement is not known. Under the cost-volume-
                                     profit analysis (CVP analysis), given the cost pattern, the impact of costs on profits for
                                     various volumes, as also of volumes on profits, is studied.
                                     The analysis would be easier if the cost can be segregated into fixed and variable. In fact,
                                     the basic tenet of CVP analysis is to split the cost into variable, which varies with volume,
                                     and fixed, which remains constant regardless of the volume. Let us assume that such a
                                     division of costs is easily possible. And it may be noted that even when such an absolute
                                     segregation is not possible, there are statistical tools which enable the analyst to do so
                                     with a fairly high degree of accuracy.
                                     Consider the following example:
                                     A firm sells its products at  10 per unit. The variable cost per unit is  6. And regardless of
                                     the volume, the firm has to spend  50,000 on other expenses (fixed expenses). In this case,
                                     the profit chart of the firm for various volumes can be analysed as follows:

                                     Sale price per unit -  10
                                     Variable cost per unit -  6
                                     Contribution per unit -  4 (  10 -  6)
                                     No. of units required to meet fixed costs -  50,000/  4 = 12,500 units

                                     Here, the difference between the sales price per unit and the variable cost per unit is called
                                     the contribution per unit. This means that for every unit sold,  4 comes in as a contribution
                                     to meet fixed expenses. How many such units will be needed to m eet the fixed expenses
                                     completely? This can easily be computed as 12,500. So, in terms of units, 12,500 units are
                                     required to meet both the variable and the fixed costs. This is called the break-even point
                                     (BEP) in units.
                                     The relationship between contribution and sales can also be expressed as a ratio, which is
                                     called contribution margin. In the example, the contribution margin is 4/10 or 0.4. The
                                     BEP in rupees can be found by dividing the fixed cost with the contribution margin. This
                                     will be  50,000/0.4 =  1,25,000.
                                     Understanding the BEP concept enables one to take a number of strategic decisions. The
                                     following is an illustrative list of the uses of CVP and BEP analyses:



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