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# PreWork - ESI 6317 Deterministic Methods in Operations...

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ESI 6317: Deterministic Methods in Operations Research Prework Solutions Page 47, number 6: = = 05 . 3 4 . 3 3 3 4 4 6 . 3 9 . 2 4 . 3 6 . 2 1 . 3 7 . 2 8 . 3 6 . 3 * 14 / 1 GPA GPA 2 1 Page 47, number 7: 2 x 1 + x 2 = 3 x 1 + 1/2 x 2 = 3/2 x 1 + 0 x 2 = 1 3 x 1 + x 2 = 4 0 x 1 – 1/2 x 2 = -1/2 0 x 1 + x 2 = 1 x 1 x 2 = 0 0 x 1 – 3/2 x 2 = -3/2 0 x 1 + 0 x 2 = 0 Only one solution: x 1 = 1, and x 2 = 1 Page 47, number 9: = + + t t t t A C A C 97 . 0 05 . 0 0 94 . 0 1 1 Page 47, number 10: - 5 2 4 0 1 1 1 1 0 1 0 1 - 1 2 4 1 1 0 1 1 0 1 0 1 - - 1 2 4 0 0 0 1 1 0 1 0 1 no solutions Page 47, number 11: 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 2 0 1 - 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 2 0 1 - - 1 1 0 0 1 0 2 2 1 1 0 0 0 1 0 0 0 1 The inverse is

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PreWork - ESI 6317 Deterministic Methods in Operations...

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