Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![2. Cross country comparisons of labor productivity. Show all work, LABEL carefully and NOTE UNITS.
Real Capital
Stock, K
(in millions of
US Dollars)
Capital-
Country
(2019)
Labor
Real GDP
Total
MPK
productivity
Function
per hour
Ratio, y
(to 3
decimals)
labor
Labor
hours, L
(millions
of hours)
33,217.0
Ratio, k
Argentina
В.
3,399,148.5
А.
С.
y =
3.66k0.45
Spain
В.
11,733,525.0
30,649.9
A.
C.
y =
4.26k0.45
Suppose that Argentina and Spain have the labor productivity functions, real capital stock, and total labor hours
given in the table above.
A. Calculate the capital-labor ratio, k (round to 2 decimals).
Argentina:
Spain:
B. Calculate real GDP per hour, y (round to 2 decimals).
Argentina:
Spain:
C. Calculate the marginal product of capital, MPK (round to 3 decimals).
Argentina:
Spain:
D. Graph the labor productivity functions for each country on the graph below. Include all relevant information
from A-C above, and label your graph carefully (need not be to scale).
E. If the MPK for Argentina converges to the MPK for Spain, calculate the new level of k in Argentina. Explain
whether labor productivity and the capital-labor ratio will also converge.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0126f80-f7e1-4dd7-b005-d42474db3d61%2F66dec9fb-636d-4ce7-9c1b-1a33837c5659%2Fqdqcodju_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Cross country comparisons of labor productivity. Show all work, LABEL carefully and NOTE UNITS.
Real Capital
Stock, K
(in millions of
US Dollars)
Capital-
Country
(2019)
Labor
Real GDP
Total
MPK
productivity
Function
per hour
Ratio, y
(to 3
decimals)
labor
Labor
hours, L
(millions
of hours)
33,217.0
Ratio, k
Argentina
В.
3,399,148.5
А.
С.
y =
3.66k0.45
Spain
В.
11,733,525.0
30,649.9
A.
C.
y =
4.26k0.45
Suppose that Argentina and Spain have the labor productivity functions, real capital stock, and total labor hours
given in the table above.
A. Calculate the capital-labor ratio, k (round to 2 decimals).
Argentina:
Spain:
B. Calculate real GDP per hour, y (round to 2 decimals).
Argentina:
Spain:
C. Calculate the marginal product of capital, MPK (round to 3 decimals).
Argentina:
Spain:
D. Graph the labor productivity functions for each country on the graph below. Include all relevant information
from A-C above, and label your graph carefully (need not be to scale).
E. If the MPK for Argentina converges to the MPK for Spain, calculate the new level of k in Argentina. Explain
whether labor productivity and the capital-labor ratio will also converge.
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