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Math Help - Marginal Revenue problem

  1. #1
    Junior Member
    Joined
    Dec 2007
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    53

    Marginal Revenue problem

    The revenue R (in dollars) from renting x apartments can be modeled by:

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

    Find the additional revenue when the number of rentals is increased from 14 to 15, and find the marginal revenue when x=14.


    How can I differentiate this problem and solve it down?

    Thanks for reading. :-]
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  2. #2
    Member
    Joined
    Aug 2007
    Posts
    144
    Hi hemi,

    We have;

    \mbox{R}(x)=2x(900+32x-x^2)=1800x+64x^2-2x^3

    so

    \mbox{R}(14)=1800(14)+64(14)^2-2(14)^3

    \mbox{R}(15)=1800(15)+64(15)^2-2(15)^3

    It's worthwile noting that \frac{d}{dx}(x^n)=nx^{n+1} , so

    \mbox{MR}=\mbox{R}'(x)=1800+128x-6x^2

    Can you finish?
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