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2. Consider a market with one firm. The firms cost function is c(g)-2, and the market demand is Q 1000-P (a) Suppose the monopolist does not exereise any market power and behaves like a competitive firm. Find the equilibrium price, the quantity produced and the firms profit. (b) Suppose the monopolist exercises market power but does not price dis- criminate (that is, the firm uses MR MC pricing strategy). Find the price the firm charges, the quantity produced, and the firms profit. Also find the dead weight loss (in comparison to the competitive market out- come). c) Now suppose price discrimination is possible Find the monopolists op- timal first degree price-discrimination strategy. What is the dead weight loss (in comparison to the competitive market outcome)? A monopolist with zero cost, that is elq)-0, faces two consumers whose demand functions are given below 3. 01 10-P 2 (a) Suppose the monopolist cannot engage in any price discrimination. Find the firms optimal pricing strategy (b) Now, assume that price discrimination is possible Find the monopolists optimal first degree price-discrimination strategy. (c) Find the monopolists optimal second degree price-discrimination strategy.
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