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 fix,y)=100x72028 (A) Find t, (x,y) and t, (x,y) (B) If the country is now using 400 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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
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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) = 100x72,028
(A) Find t, (x,y) and t, (x,y)
(B) If the country is now using 400 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?
38
Transcribed Image Text: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) = 100x72,028 (A) Find t, (x,y) and t, (x,y) (B) If the country is now using 400 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? 38
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