A consumer's behavior is described by the equation Y = C₁ + S, where Y, C₁ and S, stand respectively for his income, consumption and saving at the time period t. We assume that S = ³+1+717√3 and C₂ = Y, at any time period t. 1. Show that the consumer's consumption satisfies the equation: 2√3 Ct 3-1-1912 2. Compute the consumer's initial income and initial savings, as well as his consumption in period 1 knowing that Co-1206√3.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question

pls help

A consumer's behavior is described by the equation Y₁ = C₁ + S₂ where Yt,
C and S, stand respectively for his income, consumption and saving at the time
period t. We assume that S = 3+1 +717√3 and C₁ = Y, at any time
14
period t.
1. Show that the consumer's consumption satisfies the equation:
Ct
2√3
3
-Ct-1-1912
2. Compute the consumer's initial income and initial savings, as well as his
consumption in period 1 knowing that Co = 1206√3.
3. Determine the consumer 's consumption over time.
4. What would the consumer's consumption, savings, and income be in the
long run?
5. Is the difference equation of consumption convergent? Justify your answer.
Transcribed Image Text:A consumer's behavior is described by the equation Y₁ = C₁ + S₂ where Yt, C and S, stand respectively for his income, consumption and saving at the time period t. We assume that S = 3+1 +717√3 and C₁ = Y, at any time 14 period t. 1. Show that the consumer's consumption satisfies the equation: Ct 2√3 3 -Ct-1-1912 2. Compute the consumer's initial income and initial savings, as well as his consumption in period 1 knowing that Co = 1206√3. 3. Determine the consumer 's consumption over time. 4. What would the consumer's consumption, savings, and income be in the long run? 5. Is the difference equation of consumption convergent? Justify your answer.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Comparative Advantage
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
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