1. Over the period from B.C. 10,000 to A.D. 1, the world population is estimated to have increased from 4 million to 170 million, while the level of income per capita was constant over time. Assuming that the quantities of human and physical capital per worker did not change, and that the exponent on land in the production function is one-third, calculate the growth rate in productivity over this period. What was the annual growth rate of productivity, A?

ECON MACRO
5th Edition
ISBN:9781337000529
Author:William A. McEachern
Publisher:William A. McEachern
Chapter8: Productivity And Growth
Section: Chapter Questions
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1. Over the period from B.C. 10,000 to A.D. 1, the world population is estimated to have
increased from 4 million to 170 million, while the level of income per capita was
constant over time. Assuming that the quantities of human and physical capital per
worker did not change, and that the exponent on land in the production function is
one-third, calculate the growth rate in productivity over this period. What was the
annual growth rate of productivity, A?
Transcribed Image Text:1. Over the period from B.C. 10,000 to A.D. 1, the world population is estimated to have increased from 4 million to 170 million, while the level of income per capita was constant over time. Assuming that the quantities of human and physical capital per worker did not change, and that the exponent on land in the production function is one-third, calculate the growth rate in productivity over this period. What was the annual growth rate of productivity, A?
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