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Math Help - Inflection Point Problem; Revenue Problem

  1. #1
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    Inflection Point Problem; Revenue Problem

    I would greatly appreciate it if I could get some feedback on these Calculus questions. Answer one or all, any help would be appreciated. THANKS!

    Question:
    Find the x-value (to the 5th decimal place) of the inflection point of g(x)=x^3-7x^2+10x-4

    My Answer:
    6x-14
    6x-14=0
    6x=14
    x=2.333


    Question:
    The number of DVDs sold weekly at a certain movie store is given by 12350(0.94^x)
    DVDs, when each DVD is sold at x dollars.
    a) Find their weekly revenue function when the price is set to x dollars (per DVD):
    b) What specific price (per DVD) should they set to maximize their weekly revenue?
    c) If the store pays DVD distributors $9.99 for each DVD, and assume that they sell
    all DVDs they purchase, at what price should they sell each DVD to maximize their
    weekly profit?

    Answer:
    a) Find their weekly revenue function when the price is set to x dollars (per DVD):
    N(x) = (x)(12350(0.94^x)
    b) What specific price (per DVD) should they set to maximize their weekly revenue?

    max=15.95 dollars per DVD

    c) If the store pays DVD distributors $9.99 for each DVD, and assume that they sell
    all DVDs they purchase, at what price should they sell each DVD to maximize their
    weekly profit?
    9.99+15.95=25.94 dollars per DVD for max profit


    Last edited by Ackbeet; May 9th 2011 at 06:19 PM. Reason: Splitting thread.
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  2. #2
    Super Member TheChaz's Avatar
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    The first one is correct (or will be, once you extend it a few for decimals).

    That sure is a lot of questions...
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