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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) = 100x0.67y0.33 (A) Find fy(x,y) and fy (x.y). (B) If the country is now using 400 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 govermment encourage increased use of labor or increased use of capital? (B) The marginal productivity of labor is approximately. (Round to two decimal places as needed.) The marginal productivity of capital is approximately. (Round to two decimal places as needed.) (C) For the greatest increase in the country's productivity, the government should encourage increased use of

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) = 100x0.67y0.33 (A) Find fy(x,y) and fy (x.y). (B) If the country is now using 400 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 govermment encourage increased use of labor or increased use of capital? (B) The marginal productivity of labor is approximately. (Round to two decimal places as needed.) The marginal productivity of capital is approximately. (Round to two decimal places as needed.) (C) For the greatest increase in the country's productivity, the government should encourage increased use of

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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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) = 100x0.67 y0.33 (A) Find fy(x,y) and fy (x.y). (B) If the country is now using 400 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 govemment encourage increased use of labor or increased use of capital? (B) The marginal productivity of labor is approximately. (Round to two decimal places as needed.) The marginal productivity of capital is approximately. (Round to two decimal places as needed.) (C) For the greatest increase in the country's productivity, the government should encourage increased use of
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) = 100x0.67 y0.33 (A) Find fy(x,y) and fy (x.y). (B) If the country is now using 400 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 govemment encourage increased use of labor or increased use of capital? (B) The marginal productivity of labor is approximately. (Round to two decimal places as needed.) The marginal productivity of capital is approximately. (Round to two decimal places as needed.) (C) For the greatest increase in the country's productivity, the government should encourage increased use of
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