A product can be produced at a total cost C(x)=800+300x^2+x^3 dollars, where x is the number produce


Question: A product can be produced at a total cost \(C\left( x \right)=800+300{{x}^{2}}+{{x}^{3}}\) dollars, where x is the number produced. If the total revenue is \(R\left( x \right)=3000x-50{{x}^{2}}\) dollars, find the maximum profit.

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