A monopolist faces the following demand curve p 100 - 3q, Business Economics

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A monopolist faces the following demand curve p 100 - 3q

A monopolist faces the following demand curve: P = 100 - 3Q, its total cost is given by: TC = 100 + Q2 and its marginal cost is given by: MC = 2Q.

If it is a single price monopolist, what is its profit maximizing price and quantity? Show your work. How much is the profit? How much are consumer surplus and producer surplus?

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