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?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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)=100x0.72y0.28
 
​(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?
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