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Math Help - Calculus Problem

  1. #1
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    May 2008
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    Calculus Problem

    A small company manufactures and sells bicycles. The production manager has determined that the cost and demand functions for x bicycles per week are C(x) = 10+5x+1/60x^3 and p = 90-x, where p is the price per bicycle and x>or equal to 0.

    a. Find maximum weekly revenue

    b. Find maximum weekly profit

    c. Find the price the company should charge to realize max profit.

    I just need to know how to set up a,b,c and it will trigger my memory.
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  2. #2
    MHF Contributor
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    Isn't it the "setup" that you should be learning?

    We have 'x' bicycles per week.
    We have C(x), the cost to produce x bicycles.
    We have p(x), the price / bicycle, given production of 'x' bicycles.

    Requested Items

    Weekly Revenue = R(x) = x*p(x)

    Weekly Profit = P(x) = R(x) - C(x)

    How's that memory trigger doing?
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