Consider the quadratic programming example presented in Sec. 13.7. (a) Use the test given in Appendix 2

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Consider the quadratic programming example presented in Sec. 13.7.
(a) Use the test given in Appendix 2 to show that the objective function is strictly concave.
(b) Verify that the objective function is strictly concave by demonstrating that Q is a positive definite matrix; that is, xTQx 0 for all x  0.
(c) Show that x1 = 12, x2 = 9, and u1 = 3 satisfy the KKT conditions when they are written in the form given in Sec. 13.6.
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Introduction to Operations Research

ISBN: 978-1259162985

10th edition

Authors: Frederick S. Hillier, Gerald J. Lieberman

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