XYZ Company has an option to buy any one of the two machines N or M to manufacture its unique industrial component P. Each of the machines have the…

CA Intermediate · Cost and Management Accounting · PYQS · January 2025
XYZ Company has an option to buy any one of the two machines N or M to manufacture its unique industrial component P. Each of the machines have the capacity to produce same quality of component P and are almost identical except for the fact that they are being manufactured by a different manufacturers. The specifications for each Machine are: Machine M: It has the capacity to produce 50,000 components of P per annum, the fixed costs being - 1,50,000 and could generate a profit of 2,25,000 on the sale of all the components produced. Machine N: It is also having the equal capacity to produce same number of components as that of Machine M per annum and all the components thus produced could be sold in the open market without any difficulty. Fixed cost of Machine N is 60,000 less than that of Machine M and yield a profit of 1,60,000 by selling all the components that are produced. The selling price of each component of P is 100. Required: (i) Calculate break even sales in value for each machine. (3 Marks) (ii) Calculate sales levels in units where both the machines are equally profitable. (2 Marks)

Suggested Answer and Working Notes:

(i) Machine M Machine N Quantity Price Amount (₹) Quantity Price Amount (₹) Sales 50,000 100 50,00,000 50,000 100 50,00,000 Variable cost 50,000 92.5 46,25,000 50,000 95 47,50,000 Contribution 7.5 3,75,000 5 2,50,000 Fixed Cost 1,50,000 90,000 Profit 2,25,000 1,60,000 P/V Ratio Contribution x 100 3,75,000 x100 2,50,000 x100 Sales 50,00,000 50,00,000 7.5% 5% Break even Sales FixedCost 20,00,000 18,00,000 P/V Ratio (ii) Let the units be x 7.5x - 1,50,000 = 5 x – 90,000 2.5x = 60,000 X = 24,000 Units

Topics: Marginal Costing

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