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calculus

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A manufacturer produces bolts of fabric with a fixed width. The quantity q of this fabric (measured in yards) that is sold is a function of the selling price p (in dollars per yard), so we can write q = f(p).Then the total revenue earned with selling price p is R(p) = pf(p).Given f(16) = 8000and f '(16) = −330,find R'(16).

help?

  • calculus -

    R(p)=p(f(p))
    R'= p' * f(p) + p f'(p)

    But dp/dp=p'=1
    so you have a simple equation to solve for R'(16)

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