Effect of Capital and Labor on Productivity The production of a South American country is given by the function f(x, y) = 20x3/4 y1/4 when x units of labor and y units of capital are utilized. Find the approximate change in output df if the amount expended on labor is decreased from 256 to 252 units and the amount expended on capital is increased from 16 to 20 units. df = units

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.5: Other Types Of Equations
Problem 61E
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Effect of Capital and Labor on Productivity The production of a South American country is given by the function
f(x, y) = 20x3/4 y1/4
when x units of labor and y units of capital are utilized. Find the approximate change in output df if the amount expended on labor
is decreased from 256 to 252 units and the amount expended on capital is increased from 16 to 20 units.
df =
units
Transcribed Image Text:Effect of Capital and Labor on Productivity The production of a South American country is given by the function f(x, y) = 20x3/4 y1/4 when x units of labor and y units of capital are utilized. Find the approximate change in output df if the amount expended on labor is decreased from 256 to 252 units and the amount expended on capital is increased from 16 to 20 units. df = units
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