estion 1 Calculating MRS for CD Utility Functions (a) If a consumer has a CD utility function U(91,92) = 90.4996, calculate MRS1,2. (b) If a consumer has a CD utility function U(91,92) = 992, calculate MRS1,2. (c) If a consumer has an utility function U(91,92) = a ln(91) + (1 - a) In (92), calculate MRS1,2. Is it the same as the result in the previous part?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.3P
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solutions.
Question 1
Calculating MRS for CD Utility Functions
(a) If a consumer has a CD utility function
0.4 0.6
U(91,92) = 994926,
calculate MRS1,2.
(b) If a consumer has a CD utility function
Ima kdown1
calculate MRS1,2.
(c) If a consumer has an utility function
noltan
asd Tor
sympy
,1-α
U(91,92) = 91 92 llib et (.) orde
(hing aid tol bholup
U(91,92) = a ln(91) + (1 - a) ln(92), diw sonuanos of
calculate MRS1,2. Is it the same as the result in the previous part?
(Note: Recall that we discussed the concept of ordinal utility in class, which means
only the order of utility matters, not its magnitude. In function is a monotone
transformation on the CD utility function. Notice that In (qq) = a ln(9₁) + (1 -
a) ln(92). This example verifies that a monotone transformation does not change
*(S) sidshav
the consumer's indifference curves.)
wobei/ (d)
Transcribed Image Text:solutions. Question 1 Calculating MRS for CD Utility Functions (a) If a consumer has a CD utility function 0.4 0.6 U(91,92) = 994926, calculate MRS1,2. (b) If a consumer has a CD utility function Ima kdown1 calculate MRS1,2. (c) If a consumer has an utility function noltan asd Tor sympy ,1-α U(91,92) = 91 92 llib et (.) orde (hing aid tol bholup U(91,92) = a ln(91) + (1 - a) ln(92), diw sonuanos of calculate MRS1,2. Is it the same as the result in the previous part? (Note: Recall that we discussed the concept of ordinal utility in class, which means only the order of utility matters, not its magnitude. In function is a monotone transformation on the CD utility function. Notice that In (qq) = a ln(9₁) + (1 - a) ln(92). This example verifies that a monotone transformation does not change *(S) sidshav the consumer's indifference curves.) wobei/ (d)
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