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Math Help - Posting 2nd time(1st time didnt get anyhelp)

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    Posting 2nd time(1st time didnt get anyhelp)

    A company knows that unit cost C and unit revenue R from the production and sale of x units are related by C = ((R^2)/(182000)) + 8033 . Find the rate of change of revenue per unit when the cost per unit changing by $ 11 and the revenueis $ 4000.
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    Quote Originally Posted by ArmiAldi View Post
    A company knows that unit cost C and unit revenue R from the production and sale of x units are related by C = ((R^2)/(182000)) + 8033 . Find the rate of change of revenue per unit when the cost per unit changing by $ 11 and the revenueis $ 4000.
    You want to find: \frac{dR}{dx},

    we start by differentiating C with respect to x:

    \frac{dC}{dx} = \frac{d}{dx}\left[\frac{R^2}{182000} + 8033 \right]=\frac{R}{91000}\frac{dR}{dx}

    Now you want \frac{dR}{dx} when \frac{dC}{dx}=11 and R=4000. Plug these into the above equation and solve for \frac{dR}{dx}.

    RonL
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