Use Lagrange multipliers to find three pos- itive numbers whose sum is 174 and whose product is a maximum. 1. x = y = z = 58 2. x = 1, y = 86, z = 87 3. x = 86, y = z = 44 4. x = 29, y = 58, z = 87 5. x = 57, y = 58, z = 59

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 15E
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Use Lagrange multipliers to find three pos-
itive numbers whose sum is 174 and whose
product is a maximum.
1. x = y = z = 58
2. x = 1, y = 86, z = 87
%3D
3. x = 86, y = z = 44
4. x = 29, y = 58, z = 87
5. x = 57, y = 58, z = 59
Transcribed Image Text:Use Lagrange multipliers to find three pos- itive numbers whose sum is 174 and whose product is a maximum. 1. x = y = z = 58 2. x = 1, y = 86, z = 87 %3D 3. x = 86, y = z = 44 4. x = 29, y = 58, z = 87 5. x = 57, y = 58, z = 59
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