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)=100x0.65y0.35.   ​(A) Find fx​(x,y) and fy​(x,y). ​(B) If the country is now using 300 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?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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)=100x0.65y0.35.
 
​(A)
Find
fx​(x,y)
and
fy​(x,y).
​(B)
If the country is now using
300
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?
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