Assume that the labor force is a constant fraction of the total population. In particular, assume where e is called the "labor force participation rate" and is a constant number between 0 and 1 (assume it can be 1)[1]. In the USA, the labor force participation rate is 63.3% (i.e., ) and the total population is approximately 327 million people (i.e., ). US population growth is 0.7%. i. Calculate the US labor force, L. ii. Calculate the growth rate of the US labor force. iii. Assuming the US had a simple linear production function, what would be the growth rate of GDP? iv. Assuming the US had a production function with diminishing returns and (which is the actual US “labor share of production"), what should be US GDP growth rate just based on population growth?

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter18: Introduction To Macroeconomics: Unemployment, Inflation, And Economic Fluctuations
Section: Chapter Questions
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Assume that the labor force is a constant
fraction of the total population. In particular,
assume where 0 is called the "labor force
participation rate" and is a constant number
between 0 and 1 (assume it can be 1)[1]. In
the USA, the labor force participation rate is
63.3% (i.e., ) and the total population is
approximately 327 million people (i.e., ). US
population growth is 0.7%.
i. Calculate the US labor
force, L.
ii. Calculate the growth
rate of the US labor force.
iii. Assuming the US had a
simple linear production function, what
would be the growth rate of GDP?
iv. Assuming the US had a
production function with diminishing returns
and (which is the actual US “labor share of
production"), what should be US GDP growth
rate just based on population growth?
Transcribed Image Text:Assume that the labor force is a constant fraction of the total population. In particular, assume where 0 is called the "labor force participation rate" and is a constant number between 0 and 1 (assume it can be 1)[1]. In the USA, the labor force participation rate is 63.3% (i.e., ) and the total population is approximately 327 million people (i.e., ). US population growth is 0.7%. i. Calculate the US labor force, L. ii. Calculate the growth rate of the US labor force. iii. Assuming the US had a simple linear production function, what would be the growth rate of GDP? iv. Assuming the US had a production function with diminishing returns and (which is the actual US “labor share of production"), what should be US GDP growth rate just based on population growth?
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