Don't understand this antiderivative problem?

Question

The marginal revenue of a certain commodity is R'(x) = −3x2 + 4x + 32 where x is the level of production (in thousands). Assume R(0) = 0

 

a.) find the demand function p(x)

 

Which I already did p(x)=-x²+2x+32

 

b.) Find the level of production that results in maximum revenue. What is the market price per unit at this level of production? 

 

I don't understand this because I thought the answer would be $32 but it's telling me it's wrong

Answer 1

Hi Check your antiderivative (p(x))

shouldn't it be R(x) or p(x)=-x^3 + 2x^2 +32x + K but k =0 based on the fact R(0) = 0. Now try and do the other part and let me know if you get the correct answer.

 

(remember to minimize/maximize you need to set the derivative =0, solve etc etc)