Problem 1. Find a* that maximizes the following functions: i) f(x) = x (2-x) where r ER (i.e., no constraint). %3D

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
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Problem 1. Find x that maximizes the following functions:
i) f(x) = x (2 - x) where r ER (i.e., no constraint).
%3D
ii) f(x) = x (1 – x)² where r E [0, 1]).
iii) f(x) = x0.5 (3 – 2x)0.5 where xE [0, 1.5].
iv) f(x) = x0.5 + (5 – 4x)0.5 where x E (0, 1.25).
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Transcribed Image Text:Problem 1. Find x that maximizes the following functions: i) f(x) = x (2 - x) where r ER (i.e., no constraint). %3D ii) f(x) = x (1 – x)² where r E [0, 1]). iii) f(x) = x0.5 (3 – 2x)0.5 where xE [0, 1.5]. iv) f(x) = x0.5 + (5 – 4x)0.5 where x E (0, 1.25). -
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