In: Accounting
ABC company are comparing 2 method of production plan. Method A requires $8 of materials and 11 minutes of both labor and machinery per unit produced. Method A also requires $113363 in fixed cost to set up. Method B requires $11 of materials and 17 minutes of both labor and machinery per unit produced. Method B is easier to setup, with only $84819 in fixed cost. There are additional fixed costs of $262466 incurred regardless of which method is selected. Columbus sells its products for $52 apiece. The company pays $26 per hour in wages and incurs maintenance and depreciation costs of $13 per hour of machine usage.
What is the break even volume at which methods alpha and beta are equally attractive?
Which method is better at volumes above the break even point you calculated? Provide a brief intuitive explanation.
Calculation of break even point: | ||||
Cost as follows: | ||||
Particulars | Method A | Method B | ||
Material | 8x | 12x | ||
Labor | (11/60*26)x | (17/60*26)x | ||
Depreciation of Machinary | (11/60*13)x | (17/60*13)x | ||
Fixed Cost | 1,13,363 | 84,819 | ||
Break-even point is point at which the profit of both the methods become equal | ||||
Therefore: | ||||
8x+(11/60)*26x+(11/60)*13x+113363 = 11x+(17/60)*26x+(17/60)*13x+84819 | ||||
8x+4.77x+2.38x+$ 1,13,363 = 11x+7.37x+3.68x+84819 | ||||
15.15x +$ 113,363 = 22.05x + $ 84,819 | ||||
$ 113,363 - $ 84,819 = 22.05x - 15.15x | ||||
x = 4,137 Units | ||||
Break-even Volume would be near to 4137 Units | ||||
Method A would be better at volumes above the break even point | ||||
Method A is more profitable because it has lower variable cost than Method B. Since the break even units has been crossed, Fixed Cost would not be relevant |