The productivity of a certain third-world country is given approximately by the function

f(x, y) = 10x^0.75y^0.25

with the utilization of x units of labor and y units of capital.

(A) Find f_x (x, y) and f_y (x, y).

(B) If the country is now using 600 units of labor and 100 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?