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Math Help - Applications of the derivative/Related Rates

  1. #1
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    Applications of the derivative/Related Rates

    The manufacturer has found that the cost C and revenue R (in dollars) in one month are related by the equation

    C= (R^2/450,000)+12,000

    Find the rate of change of revenue with respect to time when the cost is changing by $15 per month and the monthly revenue is $25,000

    Thx.
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by OakleyAddict View Post
    The manufacturer has found that the cost C and revenue R (in dollars) in one month are related by the equation

    C= (R^2/450,000)+12,000

    Find the rate of change of revenue with respect to time when the cost is changing by $15 per month and the monthly revenue is $25,000

    Thx.
    Differentiate both sides with respect to t to get:

    \frac{\,dC}{\,dt}=\frac{R}{225000}\frac{\,dR}{\,dt  }

    You are ask to find \frac{\,dR}{\,dt} give that \frac{\,dC}{\,dt}=15 and R=25000

    Can you take it from here?

    --Chris
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