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Math Help - Marginal Revenue

  1. #1
    Member
    Joined
    Jan 2008
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    76

    Marginal Revenue

    I need to find the marginal profit as tied into this equation

    R=2x(900+32x-x^2)

    with Marginal Revenue = \frac{dP}{dx}

    a.) Additional revenue for x=14 to x=15

    b.) Marginal revenue when X=14

    c.) Compare b and a

    The problem I'm having is that my marginal revenue looks nothing like my additional revenue hahaha

    Marginal revenue is supposed to be gotten from the derivative of the equation that I wrote out as 2(32*2x). Part of this is from me dropping the 900 from the inside the () because it didn't have a x factor. Am I correct in doing this? This is supposed to create a "per unit" sort of equation. Am I doing something wrong? Thanks in advance
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  2. #2
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    Joined
    Jan 2008
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    The differentiated answer is =2(900+32x-x^2)+2x(32-2x)
    Giving you an answer of -6x^2+128x+1800

    as you have forgotton to use the product rule for differentiating two things multiplied together

    as a quick check you can ensure that the highest power is one less than it was in the initial equation as this will be true if you have differentiated it correctly
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