A thousand used cars are for sale in Boston. Some of the cars are of good quality (“plums”), and some are not (“lemons”), but the buyer cannot tell the difference between the two qualities; of course the seller knows whether the car is a lemon or a plum. Suppose that consumers are willing to pay $4,000 for a lemon and $6,400 for a plum; and sellers are willing to sell a lemon for $3,500 and a plum for $5,600. a. If there is a 40% chance that a car is a lemon, how many cars will be sold? And what is the maximum consumer surplus in this case. b. If there is a 10% chance that a car is a lemon, how many cars will be sold? And what is the maximum consumer surplus in this case?

A thousand used cars are for sale in Boston. Some of the cars are of good quality (“plums”), and some are not (“lemons”), but the buyer cannot tell the difference between the two qualities; of course the seller knows whether the car is a lemon or a plum. Suppose that consumers are willing to pay $4,000 for a lemon and $6,400 for a plum; and sellers are willing to sell a lemon for $3,500 and a plum for $5,600. a. If there is a 40% chance that a car is a lemon, how many cars will be sold? And what is the maximum consumer surplus in this case. b. If there is a 10% chance that a car is a lemon, how many cars will be sold? And what is the maximum consumer surplus in this case?

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter16: Information, Risk, And Insurance

Section: Chapter Questions

Problem 20CTQ: A website offers a place for people to buy and sell emeralds, but information about emeralds can be...

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Half of the used cars for sale in a market are good and the other half are lemons. Owners of good cars are willing to sell them for $1,200, while owners of lemons are willing to sell them for $50. There are many potential buyers who are willing to pay $1,500 for a good car and $300 for a lemon. Buyers cannot tell good cars from lemons, but the original owners know whether a car is a lemon or not. There will be an equilibrium in which all used cars sell for $1,150. There will be an equilibrium in which lemons sell for $50 and good used cars sell for $1,200. There will be an equilibrium in which all used cars sell for $800. The only equilibrium is one in which only lemons are sold. There will be an equilibrium in which lemons sell for $300 and good used cars sell for $1,500.
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Let q be the fraction of cars that are "peaches" and (1-q) be the fraction of cars that are "lemons." The most that a buyer will pay for a lemon is $1,500 and the most a buyerwill pay for a peach is $2,500. The lowest price the owner of a peach will accept is $2,000 and the lowest price that the owner of a lemon will accept is $1,000. What is thehighest percentage of cars for sale that can be lemons if any peaches are going to be offered for sale? Write your answer as an integer, without the % sign. For example, if theanswer is 10%, write "10".