assign4 - CO 350 Assignment 4 Winter 2010 Due: Friday...

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CO 350 Assignment 4 – Winter 2010 Due: Friday February 5 at 10:25 a.m. Solutions are due in drop box #9 (Section 1) or #10 (Section 2), outside MC 4066 by the due time. Use the appropriate slot for your section and surname. Please acknowledge all outside sources, as well as all collaboration, discussion, help, etc., in your submission. 0. Begin your assignment with the following: Last Name: (Print your last name.) First Name: (Print your “official” first name. No nicknames.) ID: (Print your UW student ID) Section: (Print your section number) Acknowledgments: 1. Prove the following statements. (a) The set of optimal solutions of a linear programming problem is a convex set. (b) Either an LP problem has no optimal solution, or has exactly one optimal solution, or has infinitely many different optimal solutions. 2. Let x * be an element of a convex set S . Show that x * is an extreme point of S if and only if the set S \ { x * } is a convex set. 3. Let
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This note was uploaded on 05/28/2011 for the course CO 250 taught by Professor Guenin during the Fall '10 term at Waterloo.

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assign4 - CO 350 Assignment 4 Winter 2010 Due: Friday...

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