question archive There are 2 types of new cars available at dealerships: good cars and lemons (which break down often)

There are 2 types of new cars available at dealerships: good cars and lemons (which break down often)

Subject:EconomicsPrice: Bought3

There are 2 types of new cars available at dealerships: good cars and lemons (which break down often). 

 

The fraction of lemons at a dealership is λ. 

 

Note that Dealers do not publicly distinguish good cars versus lemons; they sell what's on the lot at the sticker price. 

 

Buyers cannot tell apart good cars and lemons. But they know that some fraction (percentage)  λ ∈ [0, 1] of cars are lemons. - After buyers have owned the car for any period of time, they also can tell whether or not they have bought a lemon. - 

 

Assume that good cars are worth $20, 000 to buyers

Assume that lemons are worth $10, 000 to buyers. 

 

For simplicity (and without loss of generality), assume that cars do not deteriorate and that buyers are risk neutral.

 

As a Result, the Pcars = (1 − λ) · 20, 000 + λ · 10, 000

 

A. If 50% of the Used Cars on the market are lemons, how much would a consumer be willing to pay for a used car, if there was no method to separate the lemons from the good cars.

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