Consider the following nonlinear programming problem: Minimize Z = x41 + 2x22, Subject to x21 + x22
Question:
Minimize Z = x41 + 2x22,
Subject to
x21 + x22 ≥ 2.
(No nonnegativity constraints.)
(a) Use geometric analysis to determine whether the feasible region is a convex set.
(b) Now use algebra and calculus to determine whether the feasible region is a convex set.
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Step by Step Answer:
a Clearly this is not a convex feasible region For example take the points 0 2 and 0 2 0 ...View the full answer
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Related Book For 
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
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