A country's production is described by the function f(x, y) = 30x y units, when x units of labor and y units of capital were used. a) Compute Jz and f.- b) What is the marginal productivity of labor and the marginal productivity of capital when the amounts expended on labor and capital are 100 units and 30 units, respectively? c) In order to increase the country's productivity, should the government have encouraged capital investment rather than increasing expenditure on labor?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.2P
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A country's production is described by the function
2 1
f(x, y) = 30x³y3
units, when x units of labor and y units of capital were used.
a) Compute
and
f,-
b) What is the marginal productivity of labor and the marginal productivity of capital
when the amounts expended on labor and capital are 100 units and 30 units,
respectively?
c) In order to increase the country's productivity, should the government have
encouraged capital investment rather than increasing expenditure on labor?
Transcribed Image Text:A country's production is described by the function 2 1 f(x, y) = 30x³y3 units, when x units of labor and y units of capital were used. a) Compute and f,- b) What is the marginal productivity of labor and the marginal productivity of capital when the amounts expended on labor and capital are 100 units and 30 units, respectively? c) In order to increase the country's productivity, should the government have encouraged capital investment rather than increasing expenditure on labor?
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