# hw3 - CO 350 Linear Optimization(Spring 2009 Assignment 3...

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CO 350 Linear Optimization (Spring 2009) Assignment 3 Section 1: Due at 1:00p.m. June 11, 2009 (Th) in MC1085, before the lecture starts Section 2: Due at 10:30a.m. June 12, 2009 (F) in MC2065, before the lecture starts Write your name, ID# and Section# clearly. NO collaboration is allowed. The numbering of the exercises refers to the April 2009 version of the course notes. Policy for marking complaints : If you have any complaints about the marking of assignments or the midterm exam, then you should ﬁrst check your solutions against the posted solutions. After that, if you see any marking error, then you should return the assignment (or exam) to your instructor within one week and with written notes on all the marking errors; please write the notes on a new sheet and attach it to the assignment/exam paper. [20] 1. Consider the tableau T 1 below. z + 5 x 2 - 2 x 3 + x 5 = 13 3 x 2 - 2 x 3 - 6 x 5 + x 6 = 4 5 x 2 + 2 x 3 + x 4 - x 5 = 5 x 1 - 2 x 2 + x 3 + 2 x 5 = 2 (a) What is the basic solution associated with T 1 ? (b) What is the objective function value associated with this solution? (c) Perform one complete iteration of the simplex algorithm. (d) From the results of this iteration and the new tableau, can you say that the original LP problem

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hw3 - CO 350 Linear Optimization(Spring 2009 Assignment 3...

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