population growth

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Assume there is a second economy ( country B ) with everything identical to country A except for the rate of population growth , which is 2 percent . Answer the following questions for country B.

 

Assume both countries start a k = 0 , which country grows more in the short run ( before steady state is reached ) , as given by the rate of growth of output per worker ?

( hint : the further away from steady state , the faster the growth towards it ).

O. Country A

O. Same for both

O. Country B

1-a
Y = F (K, L) = AK (LE), with a = 0.4 and A = 1
The rest of the economy is characterized by our usual identity
Y = C +I,
a savings rate of 48% (s = 0.48), a depreciation rate of 2% (
8 = 0.02), a ate of population growth of 1% (n = 0.01), and a
rate of labor-augmenting technological change of 3% (g = 0.03).
Use the following notation conventions:
Y
• y = 1 - per-worker income
K
k
- per-worker capital
L
C
- per-worker consumption
• C=
I
- per-worker investment
%3D
L
EL - per-effective-worker income
K
EL
C
per-effective-worker consumption
k
- per-effective-worker capital
• C
EL
EL
- per-effective-worker investment
Transcribed Image Text:1-a Y = F (K, L) = AK (LE), with a = 0.4 and A = 1 The rest of the economy is characterized by our usual identity Y = C +I, a savings rate of 48% (s = 0.48), a depreciation rate of 2% ( 8 = 0.02), a ate of population growth of 1% (n = 0.01), and a rate of labor-augmenting technological change of 3% (g = 0.03). Use the following notation conventions: Y • y = 1 - per-worker income K k - per-worker capital L C - per-worker consumption • C= I - per-worker investment %3D L EL - per-effective-worker income K EL C per-effective-worker consumption k - per-effective-worker capital • C EL EL - per-effective-worker investment
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