Question 1 Consider an economy with two goods t = 1,2. Whenever an individual consumes ₁ units of good 1 and ₂ units of good 2, their utility is given by u(x₁, x2) = aln x₁ + ln x2, where a > 0 is a free parameter. (i) How does the parameter a 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 a increases.

Microeconomic Theory
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ISBN:9781337517942
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Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.11P
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Question 1
Consider an economy with two goods t = 1,2. Whenever an individual consumes ₁ units of good 1 and
₂ units of good 2, their utility is given by
u(x₁, x2) = aln x₁ + ln x2,
where a > 0 is a free parameter.
(i) How does the parameter a 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 a increases.
Transcribed Image Text:Question 1 Consider an economy with two goods t = 1,2. Whenever an individual consumes ₁ units of good 1 and ₂ units of good 2, their utility is given by u(x₁, x2) = aln x₁ + ln x2, where a > 0 is a free parameter. (i) How does the parameter a 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 a increases.
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