Use the KKT conditions to determine whether (x1, x2, x3) = (1, 1, 1) can be optimal

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Use the KKT conditions to determine whether (x1, x2, x3) = (1, 1, 1) can be optimal for the following problem:
Minimize Z = 2x1 + x32 + x23,
Subject to
x21 + 2x22 + x23 ≥ 4 and
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.
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Introduction to Operations Research

ISBN: 978-1259162985

10th edition

Authors: Frederick S. Hillier, Gerald J. Lieberman

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