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UKZN Maintenance Department employs five joiners. Each man has different abilities and skills and takes different amounts of time to do each job. At present, there are five jobs to be allocated. The time taken for each job by each person is given below:
Time per job (hours)
Job 1
Job 2
Job 3
Job 4
Job 5
M1
25
16
15
14
13
M2
17
18
23
Employee
M3
30
20
19
M4
27
22
12
M5
29
32
10
The jobs have to be assigned one job to one man. How should this be done in order to minimize the total man-time needed to finish all of the jobs? Use the Hungarian method to solve the problem.
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