A factory has three machines (1, 2, 3) and three jobs/tasks (A, B, C) to be assigned to this machine, with these restrictions: Each machine will be assigned to complete one job. Each machine can do any of these four jobs; the catch is, the time required to complete each job is different from one machine to another (see the cost table below   What is the minimize the total time it takes to complete all the jobs?

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ISBN:9780470458365
Author:Erwin Kreyszig
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A factory has three machines (1, 2, 3) and three jobs/tasks (A, B, C) to be assigned to this machine, with these restrictions:

Each machine will be assigned to complete one job.

Each machine can do any of these four jobs; the catch is, the time required to complete each job is different from one machine to another (see the cost table below

 

What is the minimize the total time it takes to complete all the jobs? 

 

Attached is the cost time table it take each machine to complete each task 

Cost Table (Time for machines to complete jobs)
Machine
Task A
Task B
Task C
1
12
6
2
7
8
3
3
5
6
How to read this table. E.g., the number "12" (first row) means
the time (or cost) for Machine 2 to complete Task B.
Transcribed Image Text:Cost Table (Time for machines to complete jobs) Machine Task A Task B Task C 1 12 6 2 7 8 3 3 5 6 How to read this table. E.g., the number "12" (first row) means the time (or cost) for Machine 2 to complete Task B.
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