Homework solution

# Homework solution - Homework one solution Prepared by...

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Homework one solution Prepared by Liujia Hu 1, line one: 1 2 x y +≥ line two: 1 52 . 5 xy +≤ line three: 1 45 −≤ line four: 1 68 2, (a) point 2 (b) the line 3: starting from point 3 and the upper part of the line (c) unbounded (d) unbounded (e) unbounded (f) point 0 (g) unbounded 3, The optimal solution is the interval AB A B

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12, let ij x be the time for worker i spend on job j then the objective function is Min Z= ij ij x ∑∑ Subject to: 1459 7 31 0 268 A AAA B BB ccc xxx xx == === 1 1 22 33 4 4 55 66 77 88 99 10 10 1 12 18 1 75 1 36 1 12 8 1 41 0 1 18 22 1 13 19 1 61 7 1 13 8 1 91 5 C B AB AC C B BC x x x x += ij x 0 for all i, j
15, let 61 6 .... xx denote the # of people who begin to work at time 6,…, 16 The objective fuction: min 16 6 i i x = subject to ;
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Homework solution - Homework one solution Prepared by...

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