In an auctions problem, Suppose a seller is trying to sell to a single buyer whose valuation he/she doesn't know. Values are distributed as F on [0, 1]. What price should the seller offer in order to maximize expected revenue? How does it compare to the optimal reserve price in an auction with n bidders whose values are all independently and identically distributed F on [0, 1]. Given your answer, how does the optimal reserve price in an auction depend on the number of bidders?