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ACCA Applied Knowledge · Management Accounting · Flexible budgets

A department's budget at 5,000 machine hours is $48,000 and at 8,000 machine hours is $60,000. Assuming a linear semi-variable cost behaviour, what is the budget cost allowance for 6,500 machine hours?

The allowance is $54,000. The high-low method gives a variable rate of $4 per hour and fixed costs of $28,000, so 6,500 hours cost 28,000 plus 26,000. Treating the whole cost as variable would overstate the allowance.

  1. A$54,000Correct
  2. B$62,400
  3. C$52,000
  4. D$56,000

Explanation

Variable rate = (60,000-48,000)/(8,000-5,000) = $4 per hour. Fixed cost = 48,000 - 5,000x4 = $28,000. At 6,500 hours: 28,000 + 26,000 = $54,000. Using $48,000/5,000 = $9.60 per hour for all hours would wrongly give $62,400.

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