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One difference between price discrimination and revenue management is that in revenue management, (marginal) costs are not considered. Suppose that a firm has two types of customers, A and B, with associated demand curves QA = 100 - 5?P; QB = 32 - P.
a. If the firm considers a combined market, what is its revenue-management price?
b. If the firm separates the markets, what is its revenue-management price in each market?
c. Which policy should you follow, (a) or (b)? Why?
Write out the profit-maximization conditions for a monopolist to mark-up over price. That is, what is (P?MC)/P equal to if the monopolist is profit-maximizing. From there, solve for P?MC to give a measure of the degree to which the monopolist price is distorted from the long-run perfectly competitive price, P = MC. This is the distortion for a monopolist in a one-sided market. Now, refer to your notes on the markup rule for a profit-maximizing platform monopolist in a two-sided market. Is the platform monopolist's price on one side of the market more or less distorted than that for a monopolist in a one-sided market? Explain.
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