Consider an economy with two goods t = 1, 2. Whenever an individual consumes xị units of good 1 and x2 units of good 2, their utility is given by u(x1, x2) In x1 + 8 In x2, where d is a parameter taking values 0 < 8 < 1. (i) How does the parameter d affect the marginal rate of substitution between goods 1 and 2? Explain intuitively how does the relative preference for goods 1 and 2 change as the parameter d increases.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.11P
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1i

Consider an economy with two goods t = 1,2. Whenever an individual consumes x1 units of good 1 and
x2 units of good 2, their utility is given by
u(x1, 82)
In x1 + 8 In x2,
where d is a parameter taking values 0 < 8 < 1.
(i) How does the parameter ô affect the marginal rate of substitution between goods 1 and 2? Explain
intuitively how does the relative preference for goods 1 and 2 change as the parameter d increases.
Transcribed Image Text:Consider an economy with two goods t = 1,2. Whenever an individual consumes x1 units of good 1 and x2 units of good 2, their utility is given by u(x1, 82) In x1 + 8 In x2, where d is a parameter taking values 0 < 8 < 1. (i) How does the parameter ô affect the marginal rate of substitution between goods 1 and 2? Explain intuitively how does the relative preference for goods 1 and 2 change as the parameter d increases.
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