1. Calculate the marginal rate of substitution for the following utility functions: (a) u(x₁, x₂) = ax₁ + bx2 (b) u(x₁, x2) = 2√√x₁ + x2 (c) u(x₁, x₂) = ln(x₁) + x₂ (d) u(x₁,x2) = x1x2 (e) u(x₁, x₂) = xxh (f) u(x₁, x₂) = x² + x2
1. Calculate the marginal rate of substitution for the following utility functions: (a) u(x₁, x₂) = ax₁ + bx2 (b) u(x₁, x2) = 2√√x₁ + x2 (c) u(x₁, x₂) = ln(x₁) + x₂ (d) u(x₁,x2) = x1x2 (e) u(x₁, x₂) = xxh (f) u(x₁, x₂) = x² + x2
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question

Transcribed Image Text:1. Calculate the marginal rate of substitution for the following utility functions:
(a) u(x1, x2) = ax₁ + bx2
(b) u(x1, x2) = 2√√x₁ + x₂
(c) u(x1, x2) = ln(x₁) + x2
(d) u(x1, x2) = x1x2
(e) u(x1, x2) = xx h
(f) u(x₁, x₂) = x + x²
2. Marie Curie has a utility function U(x, y) = max{x, 2y}. Note that the max{} function es-
sentially says that the value of the function takes the highest of the values in the set (the set is
denoted as the things inside the curly braces).
(a) Draw a graph, plotting the indifference curve along which U(x, y) = 10.
(b) Are Marie's preferences convex?
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps

Knowledge Booster
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.Recommended textbooks for you


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

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)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning

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-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education