Math 364 Practice Midterm - Math364(Fall 2013 Practice...

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Math364 (Fall 2013) – Practice Midterm 1 Principles of Optimization (Fall 2013) Practice Midterm Examination Name: WSU ID: This is an closed exam – you must not use any books, notes, calculators, smart devices, or the Internet . You must not communicate with anyone else during this exam. There are six problems. The total points (given in parentheses) add to 105. You will be graded for 100 points. Time is precious – try to first finish problems that you are sure of! 1. (18) Solve the following LP using tableau simplex method. max z = 2 x 1 - x 2 + 2 x 3 s.t. 3 x 1 + 2 x 2 + x 3 6 - 4 x 2 + 2 x 3 2 x 1 , x 2 , x 3 0 2. (18) Kyle just solved an LP with two constraints. Cartman wants to solve the same LP, but Kyle would not give it to him. After some pleading by Cartman, Kyle agrees to share the optimal tableau with him, which is given below. He further confirms that the variables s 1 , s 2 are the slack variables for the two constraints in the LP. Find the original LP for Cartman.
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