Which one of the statements below is false for Cobb-Douglas preferences over bundles of x1 and X2 with prices p1 and p2, respectively? a) The optimal bundle is always interior for a positive income, m. b) The Marshallian demand function for x; depends both on p; and pj, j i. c) These preferences are strictly convex and strictly monotone. d) The Engel curves for x, and x2 are positively sloped.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.14P
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4. Which one of the statements below is false for Cobb-Douglas preferences over bundles of x1
and x2 with prices p, and p2, respectively?
a) The optimal bundle is always interior for a positive income, m.
b) The Marshallian demand function for x; depends both on pi and pj, j + i.
c) These preferences are strictly convex and strictly monotone.
d) The Engel curves for x1 and x2 are positively sloped.
Transcribed Image Text:4. Which one of the statements below is false for Cobb-Douglas preferences over bundles of x1 and x2 with prices p, and p2, respectively? a) The optimal bundle is always interior for a positive income, m. b) The Marshallian demand function for x; depends both on pi and pj, j + i. c) These preferences are strictly convex and strictly monotone. d) The Engel curves for x1 and x2 are positively sloped.
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