1. Suppose that a monopolist faces the demand curveP =3000-3Q.Its cost function isC(Q) =9Q2+1000.Find the profit maximizing output, price, and profits for this firm. Using the equation for marginal revenue as a function of price and the price elasticity of demand, calculate the price elasticity of demand at the profit maximizing equilibrium.
2. Suppose that a monopolist is making the choice of maximizing profits and maximizing revenue for a given demand curve. Can output be the same for each objective? What would be the intuition if it were or weren't? Please make sure to draw any pertinent diagrams.

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