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Unformatted text preview: M ASSACHUSETTS I NSTITUTE OF T ECHNOLOGY 15.053 Optimization Methods in Management Science (Spring 2007) Recitation 9, May 3 rd , 2007 Problem 1: Radio Days Nick Lachey has taken up scheduling commercials for a radio station after his split from Jessica Simpson. His station schedules radio commercials in 60 second blocks. This hour, they have sold commercial time for 6 commercials: number 1 is 15 seconds long, number 2 is 20 seconds long, number 3 is 25 seconds long, number 4 is 40 seconds long, number 5 is 45 seconds long and number 6 is 55 seconds long. Formulate an integer program to help Nick determine the minimum number of 60second blocks of commercials that must be scheduled to fit all of the current hours commercials. Problem 2: What in the world does fathomed mean? 1. Define Fathomed 2. What are the three different cases in which a node is fathomed? 3. Solve the following problem Suppose branch and bound is being applied to a 01 integer program in which we are maximizing. By node 11 the first three variables have been fixed. An are maximizing....
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This note was uploaded on 01/18/2012 for the course MGMT 15.053 taught by Professor Jamesorli during the Spring '07 term at MIT.
 Spring '07
 JamesOrli
 Management

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