Macroeconomics
Macroeconomics
21st Edition
ISBN: 9781259915673
Author: Campbell R. McConnell, Stanley L. Brue, Sean Masaki Flynn Dr.
Publisher: McGraw-Hill Education
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Chapter 8, Problem 11DQ
To determine

Relation between the fertility rate and growth and the impact of inverse dependency ratio on the growth of real GDP.

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Suppose that 10 workers were required in 2010 to produce 40,000 bushels of wheat on a 1,000-acre farm. a. What is the average output per acre? Per worker? b. If in 2020 only 8 workers produce 44,000 bushels of wheat on that same 1,000-acre farm, what will be the average output per acre? Per worker? c. By what percentage does productivity (output per worker) increase over those 10 years? Over those 10 years, what is the average annual percentage increase in productivity?
Suppose an economy’s production function is Y = AKαL1−α. If the annual rate of economic growth is 3.5 per cent and labour and capital are both growing by 2 per cent annually, what contribution to growth is made by total factor productivity? You can assume that labour receives 75 per cent of the total income generated in this economy.
(Words apart) Per capita income most recently was about 160 times greater in the US that in Democratic Republic of the Congo. Suppose per capita income grows an average of 3 percent per year in the richer country and 6 percent per year in the poorer country. Assuming such growth rates continue indefinitely into the future, how many years would it take before per capita income in the Congo exceeds that of the US? (to simplify the math, suppose at the outset per capita income is $160000 in the richer country and $1000 in the poorer country.)
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