(x, y, z) = 6xy + 4yz + 6y-3z² - y² subject to x + torder conditions. are of the extreme points.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
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Please assist with full breakdown and answers for both parts a and b

3. Consider the function f(x, y, z) = 6xy + 4yz + 6y-3z² - y² subject to x + 2y +z = 75
a) Write down the first order conditions.
b) Determine the nature of the extreme points.
Transcribed Image Text:3. Consider the function f(x, y, z) = 6xy + 4yz + 6y-3z² - y² subject to x + 2y +z = 75 a) Write down the first order conditions. b) Determine the nature of the extreme points.
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