asst2 - you can argue directly. (a) [1 , 1 , , , 0] T ; (b)...

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ORIE 3300/5300 ASSIGNMENT 2 Fall 2010 Individual work. Due: 3 p.m., Friday September 17. 1. Consider the simple Sudoku-style puzzle below. 1 4 2 3 You must fll each cell with one oF the Four numbers 1, 2, 3, or 4. (±our oF the cells are already flled.) Each oF the Four numbers appears exactly once in each row, exactly once in each column, and exactly once in each oF the Four bold squares. Solve the puzzle by hand. Then solve the problem again using AMPL. Include your model fle (with comments!) and output. You should also submit your AMPL model fle to Blackboard, where you Found this assignment. 2. ±or the system oF equations x 1 + 3 x 2 + 2 x 3 - x 4 + 2 x 5 = 4 2 x 2 + 3 x 3 - 3 x 4 + x 5 = 2 4 x 1 + 4 x 2 + x 3 - 2 x 4 + 4 x 5 = 8 which oF the Following is a basic solution? JustiFy your answers. You may want to perForm some elementary row operations to help you, or
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Unformatted text preview: you can argue directly. (a) [1 , 1 , , , 0] T ; (b) [3 , , 2 , 1 ,-1] T ; (c) [0 , , , , 2] T ; (d) [ 1 2 , 1 2 , , , 1] T . 1 3. Consider the set of vectors x satisfying 3 x 1 + x 2 + 5 x 3 + 2 x 4 = 4 5 x 1 + x 2 + 7 x 3 + 3 x 4 = 6 x 1 , x 2 , x 3 , x 4 . Answer the following questions, justifying your answers carefully. (a) Find an extreme point of the feasible region. (b) Find a basic solution that is not feasible. (c) Find a feasible solution that is not basic: justify your answer by using the denition of basic solution. (d) Find a feasible solution that is not an extreme point: justify your answer by using the denition of extreme point. 2...
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This note was uploaded on 11/11/2010 for the course ORIE 3300 at Cornell University (Engineering School).

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asst2 - you can argue directly. (a) [1 , 1 , , , 0] T ; (b)...

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