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)=100x0.72y0.28 (A) Find fx(x,y) and fy(x,y). (B) If the country is now using 600 units of labor and 500 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?

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)=100x0.72y0.28 (A) Find fx(x,y) and fy(x,y). (B) If the country is now using 600 units of labor and 500 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?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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(A)	Find fx(x,y) and fy(x,y).
(B)	If the country is now using 600 units of labor and 500 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?