5. What kind of preferences are represented by a utility function of the form u(x1, x2) = x1 + Vr2? Is the utility function v(x1, x2) = xỉ +2x1 x2+ x2 a monotonic transformation of u(x1, x2)?
5. What kind of preferences are represented by a utility function of the form u(x1, x2) = x1 + Vr2? Is the utility function v(x1, x2) = xỉ +2x1 x2+ x2 a monotonic transformation of u(x1, x2)?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![5. What kind of preferences are represented by a utility function of the form
u(x1, x2) = x1 + V*2? Is the utility function v(x1, x2) = xỉ + 2x1Vx2+x2
a monotonic transformation of u(x1, x2)?
6. Consider the utility function u(x1, x2) = Vx1x2. What kind of pref-
erences does it represent? Is the function v(1, x2)
transformation of u(x1, x2)? Is the function w(x1, x2) = xỉx, a monotonic
transformation of u(x1, x2)?
= x²x2 a monotonic](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3088440-6a65-4c64-9472-d808aa22af1a%2F740fa794-2938-4dbf-8491-693e1d9f3c4d%2Fmujn94q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. What kind of preferences are represented by a utility function of the form
u(x1, x2) = x1 + V*2? Is the utility function v(x1, x2) = xỉ + 2x1Vx2+x2
a monotonic transformation of u(x1, x2)?
6. Consider the utility function u(x1, x2) = Vx1x2. What kind of pref-
erences does it represent? Is the function v(1, x2)
transformation of u(x1, x2)? Is the function w(x1, x2) = xỉx, a monotonic
transformation of u(x1, x2)?
= x²x2 a monotonic
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