A consumer is observed making two choices. First, he faces prices p = (1,3) with wealth w = 8 but is limited to purchasing no more than 3 units of good 1. Given this budget set, he chooses the bundle x = (2,2). Second, he faces prices p' = (2, 1) and wealth w' = 8 with no limit on his purchases of either good. Given this budget set, he chooses the bundle x² = (4,0). dentify all revealed preferences given these choices. Do this consumer's choices satisfy the Weak Axiom of Revealed Preference? - Could these choices result from the consumer choosing optimally given some mono- tone, convex, and continuous preferences? Explain your answer carefully; you do not have to provide a formal proof.
A consumer is observed making two choices. First, he faces prices p = (1,3) with wealth w = 8 but is limited to purchasing no more than 3 units of good 1. Given this budget set, he chooses the bundle x = (2,2). Second, he faces prices p' = (2, 1) and wealth w' = 8 with no limit on his purchases of either good. Given this budget set, he chooses the bundle x² = (4,0). dentify all revealed preferences given these choices. Do this consumer's choices satisfy the Weak Axiom of Revealed Preference? - Could these choices result from the consumer choosing optimally given some mono- tone, convex, and continuous preferences? Explain your answer carefully; you do not have to provide a formal proof.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![A consumer is observed making two choices. First, he faces prices p = (1,3) with wealth
w = 8 but is limited to purchasing no more than 3 units of good 1. Given this budget set, he
chooses the bundle x = (2, 2). Second, he faces prices p' = (2,1) and wealth w' = 8 with no
limit on his purchases of either good. Given this budget set, he chooses the bundle 2' = (4,0).
dentify all revealed preferences given these choices.
Do this consumer's choices satisfy the Weak Axiom of Revealed Preference?
- Could these choices result from the consumer choosing optimally given some mono-
tone, convex, and continuous preferences? Explain your answer carefully; you do not
have to provide a formal proof.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1ab2968-d288-4fd8-b87c-74963c459231%2Ffb33eaa8-343c-40c4-bacf-ae0360532408%2Fdn1rcsl_processed.png&w=3840&q=75)
Transcribed Image Text:A consumer is observed making two choices. First, he faces prices p = (1,3) with wealth
w = 8 but is limited to purchasing no more than 3 units of good 1. Given this budget set, he
chooses the bundle x = (2, 2). Second, he faces prices p' = (2,1) and wealth w' = 8 with no
limit on his purchases of either good. Given this budget set, he chooses the bundle 2' = (4,0).
dentify all revealed preferences given these choices.
Do this consumer's choices satisfy the Weak Axiom of Revealed Preference?
- Could these choices result from the consumer choosing optimally given some mono-
tone, convex, and continuous preferences? Explain your answer carefully; you do not
have to provide a formal proof.
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