HW_Ex_Ch6_QM

HW_Ex_Ch6_QM - MAT540 Chapter 6 Example Problems Using QM...

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MAT540 Chapter 6 Example Problems Using QM for Windows Problem 7 Shipment Costs ($): Plants 1 2 3 4 Mills Detroit St. Louis Chicago Norfolk A Bethlehem 14 9 16 18 B Birmingham 11 8 100 16 C Gary 16 12 10 22 Minimize Z = 14xA1 + 9xA2 + 16xA3 + 18 xA4 + 11xB1 + 8xB2 + 100xB3 + 16xB4 + 16xC1 + 12xC2 + 10xC3 + 22xC4 Subject to: Solution: xA1 + xA2 + xA3 + xA4 150 xA4 = 150 xB1 + xB2 + xB3 + xB4 210 xB1 = 120 xC1 + xC2 + xC3 + xC4 320 xB4 = 90 xA1 + xB1 + xC1 = 130 xC1 = 10 xA2 + xB2 + xC2 = 70 xC2 = 70 xA3 + xB3 + xC3 = 180 xC3 = 180 xA4 + xB4 + xC4 = 240 Z = $8,260 xij 0 Note: the solution below from QM for Windows differs from the solution from Solver. This is due to existence of multiple optimal solutions. 1
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MAT540 Chapter 6 Example Problems Using QM for Windows Problem 9 Shipment Costs ($): Plants 1 2 3 Mills Richmond W-S Durham A Cabin Creek 100 10 5 B Surry 12 9 4 C Old Fort 7 3 11 D McCoy 9 5 7 Minimize Z = 100xA1 + 10xA2 + 5xA3 + 12xB1 + 9xB2 + 4xB3 + 7xC1 + 3xC2 + 11xC3 + 9xD1 + 5xD2 + 7xD3
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This note was uploaded on 06/17/2010 for the course MAT 540 taught by Professor Azad during the Spring '10 term at Strayer.

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HW_Ex_Ch6_QM - MAT540 Chapter 6 Example Problems Using QM...

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