[Solved] Consider the following revenue and cost functions r(x)=x(550-5x) C(x)=0.005x^3+30x+7000 Find the marginal cost when x = 90 units are produced.


Question: Consider the following revenue and cost functions

\(r\left( x \right)=x\left( 550-5x \right)\)

\(C\left( x \right)=0.005{{x}^{3}}+30x+7000\)

  1. Find the marginal cost when x = 90 units are produced.
  2. Find the profit function.
  3. Find how many units need to be produced to maximize the profit.

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