The productivity of a certain country with the utilization of x units of labor and y units of capital is given approximately by the functionf(x,y)=100x0.74y0.26. (A)Findfx(x,y)andfy(x,y).(B)If the country is now using500units of labor and200units of capital, find the marginal productivity of labor and the marginal productivity of capital.(C)For the greatest increase in the country's productivity, should the government encourage increased use of labor or increased use of capital?(A)fx(x,y)=fy(x,y)= (B) The marginal productivity of labor is (Round to two decimal places as needed.) The marginal productivity of capital is (Round to two decimal places as needed.) (C) For the greatest increase in the country's productivity, the government should encourage increased use of capital or labor?

Answered: The productivity of a certain country…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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The productivity of a certain country with the utilization of x units of labor and y units of capital is given approximately by the function

f(x,y)=100x0.74y0.26.

(A)	Find fx(x,y) and fy(x,y).
(B)	If the country is now using 500 units of labor and 200 units of capital, find the marginal productivity of labor and the marginal productivity of capital.
(C)	For the greatest increase in the country's productivity, should the government encourage increased use of labor or increased use of capital?

(A)

fx(x,y)=

fy(x,y)=

(B) The marginal productivity of labor is

(Round to two decimal places as needed.)

The marginal productivity of capital is

(Round to two decimal places as needed.)

capital or labor?

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