Lui's utility function is U(x,y) = x9 y. Find the value at the bundle (x,y) =(4,2) of the derivative of Lui's MRS (of good X in terms of good Y) with respect to x whose sign can inform us whether his indifference curves are concave or convex given x>0 and y>0. Then enter this value below.
Lui's utility function is U(x,y) = x9 y. Find the value at the bundle (x,y) =(4,2) of the derivative of Lui's MRS (of good X in terms of good Y) with respect to x whose sign can inform us whether his indifference curves are concave or convex given x>0 and y>0. Then enter this value below.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Lui's utility function is U(x,y) = x9 y. Find the value at the bundle (x,y) =(4,2) of the derivative of Lui's MRS (of good X in
terms of good Y) with respect to x whose sign can inform us whether his indifference curves are concave or convex
given x>0 and y>0. Then enter this value below.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04536e59-763c-440c-af8f-4a3fc9711a35%2F9342f9b0-be3a-4d3a-a3d8-c1b95a29b696%2F0bz6ce1m_processed.png&w=3840&q=75)
Transcribed Image Text:Lui's utility function is U(x,y) = x9 y. Find the value at the bundle (x,y) =(4,2) of the derivative of Lui's MRS (of good X in
terms of good Y) with respect to x whose sign can inform us whether his indifference curves are concave or convex
given x>0 and y>0. Then enter this value below.
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Step 1
Given
Lui's utility function: ......(1)
The marginal rate of substitution of good x in terms of good y is calculated as
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