5. Suppose there is a buyer and seller in a used car market with utility functions Us = X UB = 3 * E(X) where X is the quality of the

car. Suppose the market price of a used car is P = 50. Explain why the buyer's utility function is Ug = 3 * E(X), and not U₂ = 3X. In a similar fashion, explain why is the seller's utility function is Us = X, and not Us = E(X). (HINT: Why is the buyer taking an expectation of the car quality X? Why is the seller not taking an expectation of the car quality X?)