Question

Use the Hungarian Method to answer Question 1. Five employees are available to perform four jobs....

Use the Hungarian Method to answer Question 1.

Five employees are available to perform four jobs. The time it takes each person to perform each job is given in Table 50. Determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs.

TA B L E 50

Time (hours)

Person Job 1 Job 2 Job 3 Job 4

1 22 18 30 18

2 18 — 27 22

3 26 20 28 28

4 16 22 — 14

5 21 — 25 28

Note: Dashes indicate the person cannot do that particular job.

Be sure to show all of the steps involved in the implementation of the Hungarian Method in your answer. Also, in addition, to indicating the optimal allocation of employees to jobs, be sure to indicate the minimum total time required to perform all four jobs.

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