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A Level Accounting (9706)•9706/12/M/J/22
Question 29 from 9706/12/M/J/22

Explanation

Calculate fixed costs using break-even point and contribution margin Steps:

  • Selling price per unit = variable cost per unit / (1 - contribution ratio) = 27/(1−0.40)=27 / (1 - 0.40) = 27/(1−0.40)=27 / 0.60 = $45.
  • Contribution per unit = selling price per unit × contribution ratio = 45×0.40=45 × 0.40 = 45×0.40=18.
  • Alternatively, contribution per unit = selling price - variable cost = 45−45 - 45−27 = $18.
  • Total fixed cost = break-even units × contribution per unit = 500 × 18=18 = 18=9,000.

Why C is correct:

  • Fixed costs equal break-even units times contribution per unit per the break-even formula: FC = BEP × (SP - VC).

Why the others are wrong:

  • A: Underestimates by using incorrect contribution per unit, e.g., 8insteadof8 instead of 8insteadof18.
  • B: Results from miscalculating selling price as 50,yieldingcontributionof50, yielding contribution of 50,yieldingcontributionof20.
  • D: Overestimates by assuming contribution per unit of $30, ignoring the 40% ratio.

Final answer: C

Topic: Costs and cost behaviour

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