The Cobb-Douglas production function f(x, y) = 3520.30 y0.70 gives the number of face masks manufactured when z units of labor and y units of capital is utilized. Assuming the company is currently utilizing 100 units of labor and 200 units of capital, which of the following statements can be deduced?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.7P
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The Cobb-Douglas production function f(x, y)
35x0.30 ,0.70
gives the number of face masks manufactured when æ units of labor
and y units of capital is utilized.
Assuming the company is currently utilizing 100 units of labor and
200 units of capital, which of the following statements can be deduced?
Transcribed Image Text:The Cobb-Douglas production function f(x, y) 35x0.30 ,0.70 gives the number of face masks manufactured when æ units of labor and y units of capital is utilized. Assuming the company is currently utilizing 100 units of labor and 200 units of capital, which of the following statements can be deduced?
For every unit increased in labor, the change in productivity will increase by approximately
f,(100, 200) z 19.90 units of face masks.
For every unit increased in labor, the change in productivity will decrease by approximately
f,(100, 200) z 19.90 units of face masks.
For every unit increased in capital, the change in productivity will increase by approximately
f,(100, 200) z 19.90 units of face masks.
For every unit increased in capital, the change in productivity will decrease by approximately
f,(100, 200) z 19.90 units of face masks.
Transcribed Image Text:For every unit increased in labor, the change in productivity will increase by approximately f,(100, 200) z 19.90 units of face masks. For every unit increased in labor, the change in productivity will decrease by approximately f,(100, 200) z 19.90 units of face masks. For every unit increased in capital, the change in productivity will increase by approximately f,(100, 200) z 19.90 units of face masks. For every unit increased in capital, the change in productivity will decrease by approximately f,(100, 200) z 19.90 units of face masks.
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