Bill is considering opening a new bookstore near the university campus. There are two possible sites under consideration. One is relatively small, while the other is large. If he opens at small site and demand is good, he will generate a profit of $60,000. If demand is low, he will lose $20,000. If he opens at large site and demand is high he will generate a profit of $90,000, but he will lose $40,000 if demand is low. He also has decided that he will open at one of these sites. He believes that there is a 60 percent chance that demand will be high. He assigns the following utilities to the different profits: U(60,000) = ? U(-20,000) = 0.20 U(90,000) = 1 U(-40,000) = 0 For what value of utility for $60,000, will Bill be indifferent between the two alternatives? (Show all your work)

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter17: Making Decisions With Uncertainty
Section: Chapter Questions
Problem 10MC: You are considering entry into a market in which there is currently only one producer (incumbent)....
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Bill is considering opening a new bookstore near the university campus. There are two possible sites under consideration. One is relatively small, while the other is large. If
he opens at small site and demand is good, he will generate a profit of $60,000. If demand is low, he will lose $20,000. If he opens at large site and demand is high he will
generate a profit of $90,000, but he will lose $40,000 if demand is low. He also has decided that he will open at one of these sites. He believes that there is a 60 percent
chance that demand will be high. He assigns the following utilities to the different profits:
U(60,000) = ?
U(-20,000) = 0.20
U(90,000) = 1
U(-40,000) = 0
For what value of utility for $60,000, will Bill be indifferent between the two alternatives? (Show all your work)
Transcribed Image Text:Bill is considering opening a new bookstore near the university campus. There are two possible sites under consideration. One is relatively small, while the other is large. If he opens at small site and demand is good, he will generate a profit of $60,000. If demand is low, he will lose $20,000. If he opens at large site and demand is high he will generate a profit of $90,000, but he will lose $40,000 if demand is low. He also has decided that he will open at one of these sites. He believes that there is a 60 percent chance that demand will be high. He assigns the following utilities to the different profits: U(60,000) = ? U(-20,000) = 0.20 U(90,000) = 1 U(-40,000) = 0 For what value of utility for $60,000, will Bill be indifferent between the two alternatives? (Show all your work)
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