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1 August, 20:32

Sugar Corp has a selling price of $25, variable costs of $10 per unit, and fixed costs of $30,000. Maple expects profit of $305,000 at its anticipated level of production. If Sugar sells 5,500 units more than expected, how much higher will its profits be

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  1. 1 August, 22:41
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    Profits will be $22.495 higher.

    Explanation:

    Profit is the difference between sales and cost

    Profit = price * sales - ((Variable cost * sales) + Fixed cost)

    First we have to get the sales when we have $305,000 of profit.

    Profit - Fixed cost = price * sales - (Variable cost * sales)

    Profit - Fixed cost = (price - Variable cost) * sales

    (Profit - Fixed cost) / (price - Variable cost) = sales

    Sales = (Profit - Fixed cost) / (price - Variable cost)

    Sales = (305,000 - 30,000) / (25 - 10)

    Sales=275,000/15=18.333

    If Sugar sells 5,500 units more than expected

    Then, new sales are:

    Sales=18.333+5,500=23.833

    Profit = price * sales - ((Variable cost * sales) + Fixed cost)

    Profit² = 25 * 23833 - ((10 * 23833) + 30000) = 327.495‬

    Improvement = Profit - Profit²=$305,000-327.495‬ = $22.495
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