A consumer of two goods has indirect utility v(p, w) = -1/2 P₁ + P₂ (a) Find the indirect money-metric utility e(p, v(p, w)). (b) Calculate the compensating variation associated with the change from (p, w) = ((4,4), 2) to (p', w')= ((1,9), 5).
A consumer of two goods has indirect utility v(p, w) = -1/2 P₁ + P₂ (a) Find the indirect money-metric utility e(p, v(p, w)). (b) Calculate the compensating variation associated with the change from (p, w) = ((4,4), 2) to (p', w')= ((1,9), 5).
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
how to know what are what is p1, w1, which how to map the values

Transcribed Image Text:A consum
sumer of two goods has indirect utility
v(p, w) =
√w
-1/2
P₁ + P₂
(a) Find the indirect money-metric utility e(p, v(p, w)).
(b) Calculate the compensating variation associated with the change from (p, w) = ((4,4), 2)
to (p', w')= ((1,9), 5).
can you explain the notation please break it down each part of it, please teach How
do you know where to place the values?
The indirect money-metric utility e(p, v(p, w)) can be calculated as follows:
e(p, v(p, w)) = v(p, w) - ((p1* w1) + (p2 * w2))
plugging in the values from the problem, we get:
e(p, v(p, w)) = (sqrt(w))/p1^-0.5+p2^-0.5- ((44) + (9 * 5))
e(p, v(p, w)) = 2 - 41
CV = 2
e(p, v(p, w)) = -39
The compensating variation associated with the change from (p, w) = ((4,4), 2) to (p', w')= ((1,9),
5) can be calculated as follows:
CV = e(p', w')- e(p, w)
plugging in the values from the problem, we get:
CV-39 (-41)
This means that the consu would be willing to pay up to $2 in order to maintain their original
level of utility.
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 3 steps with 2 images

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