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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning