For each of the following utility functions (i) derive the equations describing the indifference curves; (ii) draw indifference curve and upper contour set at a point (10, 5), is it convex?; (iii) compute MRS at a point (5, 5) when it exists (MRS does not exist at a kink of an indifference curve) : (a) u(x, y) = r+ V

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
For each of the following utility functions (i) derive the equations describing the indifference
curves; (ii) draw indifference curve and upper contour set at a point (10, 5), is it convex?;
(iii) compute MRS at a point (5, 5) when it exists (MRS does not exist at a kink of an
indifference curve):
(a) u(x, y) = x+ vI
(b) u(x1, 22) = In r + 10 ln r2
(c) u(x1, r2) = (x1 +1)(x2 + 2)
(d) u(x1, 22) = ymin{2r + x2, 11 + 2.a2}
%3D
(e) u(*1, 22) = min{r1, T2}
(f) u(x1, 22) = max{r1, 2}
%3D
%3D
Transcribed Image Text:For each of the following utility functions (i) derive the equations describing the indifference curves; (ii) draw indifference curve and upper contour set at a point (10, 5), is it convex?; (iii) compute MRS at a point (5, 5) when it exists (MRS does not exist at a kink of an indifference curve): (a) u(x, y) = x+ vI (b) u(x1, 22) = In r + 10 ln r2 (c) u(x1, r2) = (x1 +1)(x2 + 2) (d) u(x1, 22) = ymin{2r + x2, 11 + 2.a2} %3D (e) u(*1, 22) = min{r1, T2} (f) u(x1, 22) = max{r1, 2} %3D %3D
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Utility Function
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education