As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 60 percent chance of low demand and a 40 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P= 500,000 -250Q and P= 700,000 -200Q, respectively. Your cost function is C(Q) = 125,000 + 350,000 Q. How many new homes should you build, and what profits can you expect? Number of homes you should build: Profits you can expect: $ homes

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter18: Asymmetric Information
Section: Chapter Questions
Problem 18.3P
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Problem 12-12 (algo)
As the manager of Smith Construction, you need to make a decision on
the number of homes to build in a new residential area where you are
the only builder. Unfortunately, you must build the homes before you
learn how strong demand is for homes in this large neighborhood.
There is a 60 percent chance of low demand and a 40 percent chance
of high demand. The corresponding (inverse) demand functions for
these two scenarios are P= 500,000 -250Q and P = 700,000 -200Q,
respectively. Your cost function is C(Q) = 125,000 + 350,000 Q.
How many new homes should you build, and what profits can you
expect?
Number of homes you should build:
Profits you can expect: $
homes
Transcribed Image Text:Problem 12-12 (algo) As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 60 percent chance of low demand and a 40 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P= 500,000 -250Q and P = 700,000 -200Q, respectively. Your cost function is C(Q) = 125,000 + 350,000 Q. How many new homes should you build, and what profits can you expect? Number of homes you should build: Profits you can expect: $ homes
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