4.12 (0) Joe Bob has a utility function given by u(x1, x2) = xỉ+2x1x2+ (a) Compute Joe Bob's marginal rate of substitution: MRS(x1, x2) (b) Joe Bob's straight cousin, Al, has a utility function v(x1,x2) = x2+x1. %3D Compute Al's marginal rate of substitution. MRS(r1, x2) =. %3D (c) Do u(x1, x2) and v(r1, r2) represent the same preferences? Can you show that Joe Bob's utility function is a monotonic transformation of Al's? (Hint: Some have said that Joe Bob is square.)
4.12 (0) Joe Bob has a utility function given by u(x1, x2) = xỉ+2x1x2+ (a) Compute Joe Bob's marginal rate of substitution: MRS(x1, x2) (b) Joe Bob's straight cousin, Al, has a utility function v(x1,x2) = x2+x1. %3D Compute Al's marginal rate of substitution. MRS(r1, x2) =. %3D (c) Do u(x1, x2) and v(r1, r2) represent the same preferences? Can you show that Joe Bob's utility function is a monotonic transformation of Al's? (Hint: Some have said that Joe Bob is square.)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![4.12 (0) Joe Bob has a utility function given by u(x1, x2) = x²+2x1x2+
(a) Compute Joe Bob's marginal rate of substitution: MRS(x1, x2)
(b) Joe Bob's straight cousin, Al, has a utility function v(x1, x2) = x2+x1.
Compute Al's marginal rate of substitution. M RS(x1,x2)
(c) Do u(x1, x2) and v(x1,x2) represent the same preferences?.
Can you show that Joe Bob's utility function is a monotonic
transformation of Al's? (Hint: Some have said that Joe Bob is square.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0596a40a-4760-4a89-b571-0f8234bc14c4%2F591453cd-95ec-472b-8d08-7db6c6318b79%2Fta12zlj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.12 (0) Joe Bob has a utility function given by u(x1, x2) = x²+2x1x2+
(a) Compute Joe Bob's marginal rate of substitution: MRS(x1, x2)
(b) Joe Bob's straight cousin, Al, has a utility function v(x1, x2) = x2+x1.
Compute Al's marginal rate of substitution. M RS(x1,x2)
(c) Do u(x1, x2) and v(x1,x2) represent the same preferences?.
Can you show that Joe Bob's utility function is a monotonic
transformation of Al's? (Hint: Some have said that Joe Bob is square.)
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