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quantitative budgeting

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › quantitative budgeting

  • This topic has 1 reply, 2 voices, and was last updated 8 years ago by AvatarJohn Moffat.
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  • Author
    Posts
  • December 3, 2017 at 2:30 pm #419946
    Avatardamien
    Member
    • Topics: 6
    • Replies: 1
    • ☆

    The management accountant of a business has identified the following information:

    Activity level 800 units 1200units
    Total cost $16400 $ 23600

    The fixed costs of the business step up by 40% at 900 units
    What is the variable cost per unit?
    A.$8
    B.$18
    C.$19.67
    D.$20

    i have problem in this question

    December 3, 2017 at 7:09 pm #420014
    AvatarJohn Moffat
    Keymaster
    • Topics: 57
    • Replies: 54839
    • ☆☆☆☆☆

    If the variable cost is V and the fixed cost (before the step-up) is F,

    Then:

    800V + F = 16400
    and
    1200V + 1.4F = 23600. (multiplying F by 1.4 is the same as adding on 40%)

    Multiply everything in the first equation by 1.4:

    1120V + 1.4F = 22960

    Subtract everything in this third equation from everything in the second equation:

    80V + 0 = 640

    Therefore 80V = 640, and V = 640/80 = $8 per unit.

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