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Homework 1

# Homework 1 - x 12 ≥ 6 x 41 x 42 x 31 x 32 x 22 ≥ 15 4...

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Mitchell Daniels ISE 2404 Homework 1 1. Pp 63 – Question 3 x i = number of iterations of process i MIN z = 4x 1 + x 2 s.t. 3x 1 + x 2 10 x 1 + x 2 5 x 1 3 2. Pp 71 – Question 2 x i = number of valves purchased from supplier i MIN z = 5x 1 + 4x 2 + 3x 3 s.t. 0.40x 1 + 0.30x 2 + 0.20x 3 500 0.40x 1 + 0.35x 2 + 0.20x 3 300 0.20x 1 + 0.35x 2 + 0.60x 3 300 3. Pp 76 – Question 6 x i1 = number of 12-hour policemen beginning work in shift i x i2 = number of 18-hour policemen beginning work in shift i MIN z = 48Σx i1 + 36Σx i2 s.t. x 11 + x 12 + x 41 + x 42 + x 32 ≥ 12 x 21 + x 22 + x 11 + x 12 + x 42 ≥ 8 x 31 + x 32 + x 21 + x 22

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Unformatted text preview: + x 12 ≥ 6 x 41 + x 42 + x 31 + x 32 + x 22 ≥ 15 4. Pp 81 – Question 2 5. Pp 93 – Question 7 x ij = amount of chemical i in drug j MAX z = 6(x 11 + x 21 ) + 5(x 12 + x 12 ) – 6(x 11 + x 12 ) -4(x 21 + x 22 ) s.t. x 11 + x 12 ≤ 45 x 21 + x 22 ≤ 40 x 11 + x 21 ≤ 40 x 12 + x 22 ≤ 30 (1/0.70 – 1)x 11 – x 21 ≤ 0 (1/0.60 – 1)x 22 – x 12 ≤ 0 6. Pp 97 – Question 1 7. Pp 104 – Question 3 8. Pp 111 – Question 3 9. Pp 114 – Question 10...
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Homework 1 - x 12 ≥ 6 x 41 x 42 x 31 x 32 x 22 ≥ 15 4...

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