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30 April, 20:50

Sinclair Company's single product has a selling price of $25 per unit. Last year the company reported a profit of $20,000 and variable expenses totaling $180,000. The product has a 40% contribution margin ratio. Because of competition, Sinclair Company will be forced in the current year to reduce its selling price by $2 per unit. How many units must be sold in the current year to earn the same profit as was earned last year

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  1. 30 April, 20:59
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    The correct answer is 15,000 units.

    Explanation:

    Sales Percent = 100 - CMR

    = 100 - 40% = 60%

    Sales = (Variable Expenses : Sales Percent)

    = ($1,80,000 : 60 * 100)

    =$3,00,000

    Contribution Margin Ratio (CMR) = Sales - Variable Cost

    = $3,00,000 - $1,80,000

    =$1,20,000

    Fixed cost = Contribution Margin - Profit

    = $1,20,000 - 20,000

    =$1,00,000

    Current Year Contribution Margin = Reduced Selling Price - (Selling Price Per Unit * Sales Percent)

    = $23 - ($25 * 60%) = $8

    Number of Units to be Sold = Contribution Margin + Profit : Contribution Margin Per Unit

    = $1,00,000 + $20,000 : $8

    = $1,20,000 : $8

    = 15,000 units

    According to the Analysis, 15,000 units must be sold in the current year.
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