[Math] the demand function p(x)

calculusoptimization

The marginal revenue of a certain commodity is $R^1(x)=-3x^2+4x+32$
where $x$ is the level of production in thousands. Assume $R(0)=0$ Find $R(x)$. What is the demand function of $p(x)$?

I took the integral and got $R(x)=-x^3+2x^2+32x$

I'm not sure how to find the demand function though.
Any help would be appreciated. Thanks

Best Answer

Hint: The revenue function is $R(x)=p(x)\cdot x$ Thus you can calculate $p(x)$.

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