IOE310-midterm-practice

IOE310-midterm-practice - IOE310 Midterm Exam February 21,...

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IOE310 Midterm Exam February 21, 2007 Name:______________________________________________________________ Instructions This is a closed book, closed notes exam . You may use one double sided 8-by-11 “ note sheet ” and calculator during the exam. There are four problems in the exam and 12 pages (including this). You can use the back of each sheet for your rough calculations. Please write your solutions to each problem in this exam book. Show all work and write legibly. Your grade will depend in part on the completeness and clarity of your answers. Sign your name below the Honor Pledge. Instructors are not required to grade tests in which the signed Honor Pledge does not appear . Good luck! Honor Pledge: I have neither given nor received aid on this examination Signed:__________________________________________
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Problem 1 ( 15 points ) Part 1) For each of the following statements, determine whether it is true or false and explain why: a) (3 points ) If you pivot from one basic feasible solution to another in the simplex algorithm and your objective value does not improve, then your current solution must be optimal. Answer (T/F): Reason: b) (3 points ) Suppose you are solving a linear programming problem using simplex method. If in a given iteration, a variable leaves the basis, then that specific variable will not enter the basis in the succeeding iterations. Answer (T/F): Reason: c) (3 points ) Suppose you are solving a linear programming problem using simplex method. If in a given tableau, one of the slack/surplus variables is among the basic variables and has a non-zero value, then the current solution is not optimal. Answer (T/F):
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This note was uploaded on 04/03/2008 for the course IOE 310 taught by Professor Saigal during the Winter '08 term at University of Michigan.

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IOE310-midterm-practice - IOE310 Midterm Exam February 21,...

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