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Unformatted text preview: 3.41.4 a) Let xi,j = # hours operator i is assigned to work on day j ( i = KC, DH, HB, SC, KS, NK; j = M, T, W, Th, F) Minimize Z = 10(xKC,M + xKC, W + xKC,F) + 10.1(xDH,T + xDH,Th) + 9.9(xHB, M + xHB, T + xHB, W + xHB, F) + 9.8(xSC, M + xSC, T + xSC, W + xSC, F) + 10.8(xKS, M + xKS, W +xKS, Th) + 11.3(xNK, Th + xNK, F) subject to xKC, M ≤ 6 xDH, T ≤ 6 xHB, M ≤ 4 xKC, W ≤ 6 xDH, Th ≤ 6 xHB, T ≤ 8 xKC, F ≤ 6 xHB, W ≤ 4 xHB, F ≤ 4 xSC, M ≤ 5 xKS, M ≤ 3 xSC, T ≤ 5 xKS, W ≤ 3 xNK, Th ≤ 6 xSC, W ≤ 5 xKS, Th ≤ 8 xNK, F ≤ 2 xSC, F ≤ 5 xKC, M + xKC, W + xKC, F ≥ 8 xDH, T + xDH, Th ≥ 8 xHB, M + xHB, T + xHB, W + xHB, F ≥ 8 xSC, M + xSC, T + xSC, W + xSC, F ≥ 8 xKS, M + xKS, W + xKS, Th ≥ 7 xNK, Th + xNK, F ≥ 7 xKC, M + xHB, M + xSC, M + xKS, M = 14 xDH, T + xHB, T + xSC, T = 14 xKC, W + xHB, W + xSC, W + xKS, W = 14 xDH, Th + xKS, Th + xNK, Th = 14 xKC, F + xHB, F + xSC, F + xNK, F = 14 xi,j ≥ 0 for all i, j 330 ...
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 Fall '10
 ChoiJin

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