The productivity of a country is given by f(x,y)=14.41x0.427y0.573, where x is the amount of labor and y is the amount of capital. (A) Find fx(x,y) and fy(x,y). (B) Find fx(69,54) and fy(69,54), and interpret the results.

The productivity of a country is given by f(x,y)=14.41x0.427y0.573, where x is the amount of labor and y is the amount of capital. (A) Find fx(x,y) and fy(x,y). (B) Find fx(69,54) and fy(69,54), and interpret the results.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.4: Factoring Polynomials

Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...

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Question

The productivity of a country is given by

f(x,y)=14.41x0.427y0.573,

where x is the amount of labor and y is the amount of capital.

(A) Find fx(x,y) and fy(x,y).

(B) Find fx(69,54) and fy(69,54), and interpret the results.

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The productivity of a country is given by ​f(x,y)=14.41x0.427y0.573​, where x is the amount of labor and y is the amount of capital. ​(A) Find fx(x,y) and fy(x,y). ​(B) Find fx(69,54) and fy(69,54)​, and interpret the results.

The productivity of a country is given by f(x,y)=14.41x0.427y0.573, where x is the amount of labor and y is the amount of capital. (A) Find fx(x,y) and fy(x,y). (B) Find fx(69,54) and fy(69,54), and interpret the results.