Pete consumes goods 1 and 2. Pete thinks that 3 units of good 1 is always a perfect substitute for 4 units of good 2. Which of the following utility functions is the only one that would not represent Pete's preferences? A B U (x₁x₂)=40x₁+30x - 10000 1 2 D U(x₁,x₂) = 4x₁ + 3x + 1000 2 U (x₁,x₂) = min {4x₁, 3x₂} U(x₁x₂) = 16x² +24x x + 9x² 2 (E) More than one of the above does not represent Pete's preferences.
Pete consumes goods 1 and 2. Pete thinks that 3 units of good 1 is always a perfect substitute for 4 units of good 2. Which of the following utility functions is the only one that would not represent Pete's preferences? A B U (x₁x₂)=40x₁+30x - 10000 1 2 D U(x₁,x₂) = 4x₁ + 3x + 1000 2 U (x₁,x₂) = min {4x₁, 3x₂} U(x₁x₂) = 16x² +24x x + 9x² 2 (E) More than one of the above does not represent Pete's preferences.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Pete consumes goods 1 and 2. Pete thinks that 3 units of good 1 is always a perfect substitute for 4 units of good 2. Which
of the following utility functions is the only one that would not represent Pete's preferences?
A
B
D
E
U (x₁,x₂) = 40x₁+30x - 10000
2
U(x₁,x₂) = 4x₁+3x₂+ 1000
2
U (x₁,x₂) = min {4x₁, 3x₂}
U(x,x)=16x² +24xx₂+9x²
More than one of the above does not represent Pete's preferences.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe937f8a2-52b2-43ff-ab31-8264f4db6da5%2F0edd42ed-cf44-4a23-ab72-8afb09fe4354%2F01iumh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Pete consumes goods 1 and 2. Pete thinks that 3 units of good 1 is always a perfect substitute for 4 units of good 2. Which
of the following utility functions is the only one that would not represent Pete's preferences?
A
B
D
E
U (x₁,x₂) = 40x₁+30x - 10000
2
U(x₁,x₂) = 4x₁+3x₂+ 1000
2
U (x₁,x₂) = min {4x₁, 3x₂}
U(x,x)=16x² +24xx₂+9x²
More than one of the above does not represent Pete's preferences.
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