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Math Help - Marginal Profit

  1. #1
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    Marginal Profit

    The marginal profit at x is defined as the instantaneous rate of change of profit with respect to the number x of items produced.
    Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)=4x^2-4x+1
    The marginal profit when x=4 units are sold equals______ dollars/(unit of production).

    I have attempted this question by taking the derivative of P(x)=4x^2-4x+1 which becomes P'(x)=8x-4 and plugged the x=4 into the derivative and got 28; however that is not the correct answer.

    Can someone help me please.
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  2. #2
    MHF Contributor
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    looks fine to me, except that you are told to give the answer in $/unit, but your profit function was in 100's of dollars per unit.

    answer = 2800
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