Question: Consider a monopoly whose total cost function is TC=Q 3 -30Q 2 +302Q,Whose consider marginal cost function is MC=3Q 2 - 60Q+302,Whose demand is P=329-30Q,

Consider a monopoly whose total cost function is TC=Q³-30Q²+302Q,Whose consider marginal cost function is MC=3Q^{2 _-}60Q+302,Whose demand is P=329-30Q, and whose marginal revenue function MR=329-60Q,Where Q is output and P is price

Assume that the firm maximize profit but cannot practice price discrimination.

a) how much does the firm produce ?

b) how much does the firm charge ?

c) how large are the firms profit?

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