A consumer's behavior is described by the equation Y₁ = Ct + St where Yt, Ct and St stand respectively for his income, consumption and saving at the time t+1 + 717√√3 and Ct = Yt at any time period t. We assume that St 3√√³ Yt 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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.12: Solving Equations By Factoring
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A consumer's behavior is described by the equation Y₁ = C₁ + St where Yt,
Ct and St stand respectively for his income, consumption and saving at the time
period t. We assume that St
3√³ Y
t+1 + 717√√3 and C₁ = ¼Y₁ at any time
=
14
period t.
1. Show that the consumer's consumption satisfies the equation:
C₁ = 2√3C₁-1 - 1912
Ct
3
2. Comput the consumer's initial income and initial savings, as well as his
consumption in period 1 knowing that Co = 1206√3.
Transcribed Image Text:A consumer's behavior is described by the equation Y₁ = C₁ + St where Yt, Ct and St stand respectively for his income, consumption and saving at the time period t. We assume that St 3√³ Y t+1 + 717√√3 and C₁ = ¼Y₁ at any time = 14 period t. 1. Show that the consumer's consumption satisfies the equation: C₁ = 2√3C₁-1 - 1912 Ct 3 2. Comput the consumer's initial income and initial savings, as well as his consumption in period 1 knowing that Co = 1206√3.
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