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If an inventor charges $4 per unit, then her profit for producing and selling x units is given by the function P(x) = 2.25x - 7000 What is her profit if she sells 2000 units? What is her profit if she sells 5000 units? What is the break-even point for sales?

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    The inventor is charging $4 / unit.

    Profit calculation function is >>> P(x) = 2.25 x - 7000

    If she sells 2000 units, then her profit is 2.25 (2000) - 7000 =
    -2500 or loss of 2500.

    If she sells 5000 units , then her profit is 2.25 (5000) - 7000 = 4250 dollars.

    Break even point means no profit no loss. That means you have to mulitiply 2.25 with such number so that the result becomes 7000

    therefore >>> 2.25 (x) = 7000 OR 7000 / 2.25 = 3111.111

    P(x) = 2.25 (3111.1111) - 7000
    P(x) = 0
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    Guest

    Guest  

    answered 2 years ago

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