quiz1 - IE 426 Quiz #1 October 3, 2005. 4:105:25 READ THIS!...

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IE 426– Quiz #1 October 3, 2005. 4:10–5:25 READ THIS! 1. Please put your name on all the pages of the exam. 2. The exam is closed book and closed notes 3. If you need more space, feel free to use the backs of the sheets, just make sure that I know where you are writing your answers. 4. The more clearly you write your answer, the better the chance that I can grade it accurately and give it full credit. In particular, you may write down any assumptions you make in formulating your linear programs. 5. When writing down an optimization model, remember to define the variables! 6. TV People : It may be hard for you to ask questions of the proctor. If you notice a mistake in the exam, or if certain portions of the question are not clear, please write clearly what you are assuming, so that I may be able to give you full credit. 7. If a problem is a continuation of a previous problem (like problems in Sections 3 and 4), simply clearly write the changes necessary to the model. You do not need to rewrite the entire model. 8. The number of points for each problem is displayed at the end of the problem’s title. The test is long, so use your time wisely. Jim will collect all the papers promptly at 5:25. No extra time. 9. Good luck! Don’t panic. I’m rooting for you. Name:
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IE426 Quiz #1 Name: 1 LP Knowledge (9) For each of the problems in this section, you should determine which of the characterizations below best describes the linear program. The linear program may fall into more than one category, in which case write all characterizations that apply. A Unique Optimal B Multiple Optima C Infeasible D Unbounded E Degenerate 1.1 Problem (3 points) min - x 1 - x 2 s.t. 6 x 1 + 2 x 2 8 - x 1 + x 2 0 x 1 0 x 2 0 Answer. 1.2 Problem (3 points) max 3 x 1 + x 2 s.t. 6 x 1 + 2 x 2 8 - x 1 + x 2 0 x 1 0 x 2 0 Answer. Problem 1 Page 2
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IE426 Quiz #1 Name: 1.3 Problem (3 points) min x 2 s.t. x 1 1 6 x 1 + 2 x 2 8 - x 1 + x 2 0 x 1 0 x 2 0 Answer.
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quiz1 - IE 426 Quiz #1 October 3, 2005. 4:105:25 READ THIS!...

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