what is the monopolists marginal revenue and chosen qunatity to sell

Question

A monopolist faces a cost function equal to  

C(Q) = 6Q

and a demand function of 

Q^D(P) = 200 - P/3

what is the monopolist's marginal revenue function?

what is the monopolist's chosen quantity to sell?

Answer 1

The inverse demand function is: P = 600 - 3 Q

The marginal revenue function is : MR = 600 - 6Q

The marginal cost function MC = 6

set MC= MR solve for Q = 99