Paul hires Amy to manage his bakery shop. The following table gives the shop's profits (without subtracting payments to Amy) under 3 different levels of Amy's effort and two different states of the world (good and bad weather). There is an 80% probability that the weather would turn good. Bad weather (20%) Good weather (80%) Low Effort 200 400 Medium Effort 400 800 High Effort 800 1000 The cost of low effort is $10, medium effort $20 and high effort $40. Paul offers a fixed salary of $100 and bonus B if revenue is equal to or higher than $800 and nothing otherwise. What should be the minimum value of B so that Amy would put high effort?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.3P
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Paul hires Amy to manage his bakery shop. The following table gives the shop's profits (without
subtracting payments to Amy) under 3 different levels of Amy's effort and two different states of the
world (good and bad weather). There is an 80% probability that the weather would turn good.
Bad weather (20%)
Good weather (80%)
Low Effort
200
400
Medium Effort
400
800
High Effort
800
1000
The cost of low effort is $10, medium effort $20 and high effort $40. Paul offers a fixed salary of
$100 and bonus B if revenue is equal to or higher than $800 and nothing otherwise. What should
be the minimum value of B so that Amy would put high effort?
Transcribed Image Text:Paul hires Amy to manage his bakery shop. The following table gives the shop's profits (without subtracting payments to Amy) under 3 different levels of Amy's effort and two different states of the world (good and bad weather). There is an 80% probability that the weather would turn good. Bad weather (20%) Good weather (80%) Low Effort 200 400 Medium Effort 400 800 High Effort 800 1000 The cost of low effort is $10, medium effort $20 and high effort $40. Paul offers a fixed salary of $100 and bonus B if revenue is equal to or higher than $800 and nothing otherwise. What should be the minimum value of B so that Amy would put high effort?
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