hich worker should be assigned to which job? What is the total time required? (Hint: Use the Assignment model). If there are only 4 jobs (assume that job 5 is not required), how would the workers be assigned to jobs? (Hint: Change the constraints in the Assignment model).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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  1. Five workers are available to perform four jobs. The time it takes each worker to perform each job is given in the following table. The goal is to assign workers to jobs so as to minimize the total time required to perform the five jobs:

 

 

Time

Worker

Job 1

Job 2

Job 3

Job 4

Job 5

1

10

15

10

15

16

2

12

8

20

16

14

3

12

9

12

18

22

4

6

12

15

18

8

5

16

12

8

12

8

 

  1. Which worker should be assigned to which job? What is the total time required? (Hint: Use the Assignment model).
  2. If there are only 4 jobs (assume that job 5 is not required), how would the workers be assigned to jobs? (Hint: Change the constraints in the Assignment model).
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