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I.C.M.A. England has defined marginal cost as two amounts:
(1) Increase in aggregate costs, if production is increased by one unit
Or
(2) Decrease in the aggregate costs, if the production is decreased by one unit.
· Marginal costing requires that fixed and variable costs must be kept separate at every stage of production.
· Fixed costs must be excluded from the total costs to study Marginal Costs. Only variable costs are considered for costing of products.
· The basic assumption of Marginal Costing is that the excess of selling price over variable costs provide a fund that firstly meets fixed costs and then the company’s profit.
· Marginal costs ascertain the cost. Over and above this, it provides a means to calculate the change in profits due to changes in volume, cost, in selling price, in product mix or in the sales mixture.
Ø Marginal Cost Equation
The following is the basic Marginal Cost Equation:
S – V = F + P
S is the selling price
V is the variable cost
F is the fixed cost
P is the profit
This difference is also called as the ‘contribution’ of a product line. Contribution is the excess of sales value over the marginal cost of sales.
C = S – V = F + P Where C is the contribution
Ø Break – even Analysis
Break – even represents the level of activity where the total cost equals total revenue. It is a point of “no profit – no loss”. The firm earns profits at a production higher than this point. The firm incurred losses when production is below this point.
Formulae Representation of Break-even point:
Considering the basic Marginal Cost Equation, a firm will be at a point of no profit – no loss when:
S – V = F (Sales price – Variable cost = Fixed Costs as P should be 0)
Or
C = F where C is the contribution
Thus the B.E.P. (for output) = Total Fixed Cost / Contribution per Unit
Ø Cost – Volume – Profit Relationship
There is a close relationship between cost, volume and profit levels of an organization. They are interdependent as selling price depends on the cost of production and sales depend on volume of production and profits are determined by all of these factors. The C-V-P relationship is represented by the ‘Contribution to Sales Ratio’ or the ‘Marginal Income Ratio’.
Here, P/V Ratio = Contribution/ Sale
Or
Sales – Variable Costs/ Sales
Or
Fixed Cost + Profit/ Sales
The P/V ratio serves as a ready reckoner for ascertaining the changes in profits resulting from a change in sales volume. It is useful in determining the profit for a given sales volume and also the volume of sales required for a given target of profit. An increase in the selling price, favorably changing the sales mix and reducing the variable costs can improve the P/V ratio.
Ø Margin of Safety
Margin of Safety represents the amount by which the volume of sales exceeds the break- even level. A higher margin of safety is better because it indicates that even if that even if there is some fall in sales, still the firm earns profit. A low margin of safety indicates a difficult business situation. The margin of safety can be improved by increasing the selling price if it is possible, increasing the production, reducing fixed cost, reducing variable cost and favorably changing the product mix.
Margin of Safety = Total sales – Sales at B.E.P
Or
F/ (P/V ratio)
Or
P/ (P/V ratio)
Where S = Sales, P = Profit and F = Fixed Cost
Marginal costing is used in evaluation of the performance of an organization. It helps to fix the selling price and make profitable use of scarce resources. It helps in determining the optimum product mix and is useful in Make or Buy decisions. Marginal costing enables comparison of methods of production and the dropping of unprofitable activities. Please refer to the chapter ‘Pricing Aspects of a Firm’ in this blog for mathematical illustrations of the application of Marginal Costing.