a. Solve the problem: max(min) x2+y2 +z subject to x2+2y²+4z2=1 5. Suppose the constraint is changed to x2+2y2+4z2=1.02. What is the approximat change in the maximum value of objective function?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
Problem 2E
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a. Solve the problem:
max(min) x2+y2 +z subject to
x2+2y²+4z?=1
b. Suppose the constraint is changed to x²+2y²+4z²=1.02. What is the approximate
change in the maximum value of objective function?
Transcribed Image Text:a. Solve the problem: max(min) x2+y2 +z subject to x2+2y²+4z?=1 b. Suppose the constraint is changed to x²+2y²+4z²=1.02. What is the approximate change in the maximum value of objective function?
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