ITPEC FE Morning April 2020 Question 78

Source exam: ITPEC FE Morning April 2020Topic: Corporate & Legal

ITPEC FE Morning April 2020 — Question 78 of 80

Break-Even Point (BEP) Calculation — find fixed costs given BEP units, price, and variable cost.

The BEP formula is:

BEP (units) = Fixed Costs / (Price per unit - Variable cost per unit)

Rearranging to find Fixed Costs:

Fixed Costs = BEP × (Price - Variable Cost)

Company A:
x = 500 × (120 - 40) = 500 × 80 = 40,000

Company B:
y = 600 × (140 - 60) = 600 × 80 = 48,000

Answer: (d) x = 40,000, y = 48,000

Why not others:
- (a) Both values are incorrect (20,000 and 36,000)

- (b) x = 20,000 is wrong — uses an incorrect contribution margin for Company A

- (c) y = 36,000 is wrong — uses an incorrect contribution margin for Company B

Key rule: BEP × Contribution Margin = Fixed Costs. The contribution margin is simply Price minus Variable Cost per unit.

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