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High Low Method Question with Changes in the Variable Cost per Unit

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › High Low Method Question with Changes in the Variable Cost per Unit

  • This topic has 1 reply, 2 voices, and was last updated 1 year ago by John Moffat.
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  • July 2, 2021 at 5:03 pm #626851
    ijeoman
    Member
    • Topics: 19
    • Replies: 13
    • ☆

    The following observations of output and cost have been made:

    Output Cost
    Units $

    8,000 39,400
    20,000 68,000

    It is known that at output levels above 15,000 units, variable cost per unit drops by $1 per unit for all subsequent units produced.

    What is the variable cost for each unit of output above 15,000 units?
    ? $1.80
    ? $0.97
    ? $2.80
    ? $3.40

    I’m not sure how to first adjust the Cost at 20,000 units before i can apply the high low method. I think I am meant to subtract 15,000 from 20,000 but not sure where to go from there

    July 3, 2021 at 8:38 am #626877
    John Moffat
    Keymaster
    • Topics: 56
    • Replies: 51576
    • ☆☆☆☆☆

    The basic high low arithmetic only works if the variable cost per unit stays the same.

    So, if the variable cost did stay the same at all levels then the cost of 20,000 units would be 5,000 x $1 = $5,000 higher and would be 68,000 + 5,000 = $73,000.

    If we then use the normal high low approach, the variable cost per unit is (73,000 – 39,400) / (20,000 – 8,000) = $2.80 per unit.

    For levels above 15,000 this falls by $1 per unit for the extra units and therefore falls to $1.80 per unit.

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