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A Level Accounting (9706)•9706/11/M/J/24
Question 28 from 9706/11/M/J/24

Explanation

Target Profit Using Contribution Margin Steps:

  • Variable cost per unit: (90,000manufacturing+90,000 manufacturing + 90,000manufacturing+60,000 selling) / 6,000 units = $25.
  • Contribution margin per unit: 40sellingprice−40 selling price - 40sellingprice−25 variable cost = $15.
  • Total fixed costs: 60,000manufacturing+60,000 manufacturing + 60,000manufacturing+10,000 administrative = $70,000.
  • Required units: (70,000fixed+70,000 fixed + 70,000fixed+5,000 target profit) / $15 contribution = 5,000 units. Why D is correct:
  • The CVP formula units = (fixed costs + target profit) / contribution margin per unit equals 5,000, achieving exactly $5,000 profit. Why the others are wrong:
  • A: 3,900 units gives 58,500contribution,resultingin−58,500 contribution, resulting in -58,500contribution,resultingin−11,500 profit.
  • B: 4,125 units gives 61,875contribution,resultingin−61,875 contribution, resulting in -61,875contribution,resultingin−8,125 profit.
  • C: 4,800 units gives 72,000contribution,resultingin−72,000 contribution, resulting in -72,000contribution,resultingin−3,000 profit. Final answer: D
Topic: Costs and cost behaviour

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