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24 March, 18:50

Chang Corporation has two divisions, T and W. The company's overall contribution margin ratio is 40%, with sales in the two divisions totaling $900,000. If variable expenses are $200,000 in Division T and if Division W's contribution margin ratio is 20%, the sales in Division w must be: a. $700,000 b. $200,000 c. $340,000 d. $425,000

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  1. 24 March, 19:19
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    B) $425,000

    Explanation:

    The calculation for finding the sales in Division W is given below,

    Total Company Division T Division W

    Sales $900,000

    Variable expenses 200,000

    Contribution margin?

    Contribution margin = CM ratio * Sales = 0.40 * $900,000 = $360,000

    Total Company Division T Division W

    Sales $900,000

    Variable expenses? 200,000

    Contribution margin $360,000

    Contribution margin = Sales - Variable expenses

    $360,000 = $900,000 - Variable expenses

    Variable expenses = $900,000 - $360,000 = $540,000

    Total Company Division T Division W

    Sales $900,000

    Variable expenses 540,000 200,000?

    Contribution margin $360,000

    Total variable expenses = Division T variable expenses + Division T variable expenses

    $540,000 = $200,000 + Division T variable expenses

    Division T variable expenses = $540,000 - $200,000 = $340,000

    Total Company Division T Division W

    Sales $900,000?

    Variable expenses 540,000 200,000 340,000

    Contribution margin $360,000

    CM ratio = 1 - Variable expense ratio

    0.20 = 1 - Variable expense ratio

    Variable expense ratio = 1 - 0.20 = 0.80

    Variable expense ratio = Variable expenses : Sales

    0.80 = $340,000 : Sales

    Sales = $340,000 : 0.80 = $425,000

    The sales in Division W must be $425,000.
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