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4 January, 17:39

The following data are for Lily Kay Company. Total sales revenue $250,000 Number of units sold 50,000 units Contribution margin per unit $3.50 Fixed costs $100,000 Calculate the number of units that must be sold to generate net income of $80,000.

a. 120,000 units

b. 51,429 units

c. 22,857 units

d. 5,714 units

e. 13,333 units

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  1. 4 January, 19:47
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    b. 51,429 units

    Explanation:

    If x = Number of units

    Net Income = Sales Revenue - Variable Cost - Fixed Cost

    or

    Net Income = Contribution Margin - Fixed Cost

    where,

    Net Income = $80,000

    Contribution Margin per unit = $3.50

    Fixed Cost = $100,000

    Contribution Margin = Net Income + Fixed Cost

    $3.50x = $80,000 + $100,000

    $3.50x = $180,000

    Dividing the above equation by $3.50 we get

    x = $180,000 / $3.50

    x = 51,429 units

    Hence 51,429 number of units must be sold to generate the net income of $80,000.
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