Medium2 marksShort Answer
Data analysis and statistical techniquesArea BHigh-Low MethodCost Behavior

ACCA · Question 06 · Data analysis and statistical techniques

Section A

TitaniumForge operates a heavy steel forging plant. The total electricity costs recorded at two different activity levels are as follows:

  • Highest activity: 15,000 machine hours, Total Cost: $85,000
  • Lowest activity: 8,000 machine hours, Total Cost: $57,000

Using the high-low method, calculate the estimated total electricity cost for an activity level of 12,000 machine hours.

(Enter your answer as a whole number without the dollar sign or commas)

How to approach this question

1. Find variable cost per unit: (Highest Cost - Lowest Cost) / (Highest Activity - Lowest Activity). 2. Find fixed cost: Total Cost - (Variable Cost per unit * Activity level). 3. Calculate total cost for 12,000 hours: Fixed Cost + (Variable Cost per unit * 12,000).

Full Answer

Variable cost per machine hour = ($85,000 - $57,000) / (15,000 - 8,000) = $28,000 / 7,000 = $4 per hour. Fixed cost = Total cost at high activity - Total variable cost at high activity = $85,000 - (15,000 * $4) = $85,000 - $60,000 = $25,000. Total cost for 12,000 hours = Fixed cost + (12,000 * Variable cost per hour) = $25,000 + (12,000 * $4) = $25,000 + $48,000 = $73,000.

Common mistakes

Forgetting to add the fixed cost back when calculating the final total cost.

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