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Cost behaviour - high low method with stepped fixed costs

GGiovanna3y ago
Hello, I am struggling to understand one exercise, as I don't understand why the change in fixed cost gets deducted from the calculation of the variable costs. The exercise is as follows: The following shows the total overhead costs for given levels of a company's total output: Cost Outputs £4,000 1000 £7,000 2000 £10,000 3000 £9,500 4000 A step up in fixed costs of £500 occurs at an output level of 3,500 units. What would be the variable overhead cost per unit using the high-low method? The solution on the book is (£9,500 - £4000 - £500) = £5,000 and then £5000/(4000-1000) = £1.67 I thought is was (£9,500 - £4,000)/(4000-1000) = £1.83 I don't understand why it subtracts the change in fixed costs in the calculations for the variable costs. Many thanks for your help
John MoffatJohn MoffatTutor3y ago#1
The costs of $4000 and $9500 are the total costs at the two levels and so are the total of the variable costs and the fixed costs. Here, the fixed cost is $500 higher when the output is 4,000 and so $500 of the difference in the total cost is because of this, and only the remaining $5,000 is due to the extra variable cost of the extra 3,000 units. So the variable cost per unit is $5,000/3,000 units = $1.67.
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