Linear Prog COP4355_Part_23

# Linear Prog COP4355_Part_23 - Chapter 9 The Assignment...

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96 Chapter 9 The Assignment Model 9.12 Job X on Machine B; Job Z on Machine A; Job Y on Machine C; and no job to Machine D. Minimum total cost = 2 + 5 + 5 + 0 = 12. X Y Z Dummy D 8 2 4 7 6 5 3 8 9 0 0 0 0 A C B 5 Machines J O B s X Y Z Dummy D 6 0* 0 5 2 2 0 5 6 0* 0 0 0 A C B 1 X Y Z Dummy D 5 0* 0 4 1 1 0 4 5 0* 1 0 0 A C B 0* X Y Z Dummy D 4 0* 0 4 0 0* 0 4 4 0 2 1 0* A C B 0* Tableau 2 Tableau 3 Tableau 4

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Solutions Manual and Workbook 97 9.13 There are no “lone rangers,” so we arbitrarily assign Lucky to Black Jack and proceed. Lucky to Black Jack Gus to Baccarat Slick to Poker Total Rating = 7 + 8 + + 4 = 19 Returning to the same tableau and assigning a zero which did not appear in the first solution (Lucky to Baccarat), Lucky Gus Slick 7 5 8 6 4 9 Black Jack Poker Baccarat 9 8 8 Lucky Gus Slick 0 0 1 2 0 5 Black Jack Poker Baccarat 2 3 3 Lucky Gus Slick 0 0* 0 2 0 4 Black Jack Poker Baccarat 2 2 3 Lucky Gus Slick 0 0 0 0 0 2 Black Jack Poker Baccarat 4 0 1 Lucky Gus Slick 0* 0 0 0 0* 2 Black Jack Poker Baccarat 4 0* 1
98 Chapter 9 The Assignment Model 9.13 (continued) Lucky to Baccarat

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