TABLE 50 Time (hours) Person Job 1 Job 2 Job 3 Job 4 22 18 30 18 18 27 22 3 26 20 28 28 4 16 22 14 5 21 25 28 Note: Dashes indicate person cannot do that particular job. 12

Practical Management Science
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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. Please also provide the graph.

**Table 50: Job Completion Times by Person**

This table illustrates the time (in hours) required for five individuals to complete four different jobs. Each row represents a person, while each column under "Time (hours)" corresponds to a specific job.

- **Person 1**: 
  - Job 1: 22 hours
  - Job 2: 18 hours
  - Job 3: 30 hours
  - Job 4: 18 hours

- **Person 2**: 
  - Job 1: 18 hours
  - Job 2: Cannot perform (indicated by a dash)
  - Job 3: 27 hours
  - Job 4: 22 hours

- **Person 3**: 
  - Job 1: 26 hours
  - Job 2: 20 hours
  - Job 3: 28 hours
  - Job 4: 28 hours

- **Person 4**: 
  - Job 1: 16 hours
  - Job 2: 22 hours
  - Job 3: Cannot perform (indicated by a dash)
  - Job 4: 14 hours

- **Person 5**: 
  - Job 1: 21 hours
  - Job 2: Cannot perform (indicated by a dash)
  - Job 3: 25 hours
  - Job 4: 28 hours

**Note**: Dashes indicate that the person cannot perform that particular job. This table is useful for analyzing task allocation and workforce planning based on individual capabilities and job requirements.
Transcribed Image Text:**Table 50: Job Completion Times by Person** This table illustrates the time (in hours) required for five individuals to complete four different jobs. Each row represents a person, while each column under "Time (hours)" corresponds to a specific job. - **Person 1**: - Job 1: 22 hours - Job 2: 18 hours - Job 3: 30 hours - Job 4: 18 hours - **Person 2**: - Job 1: 18 hours - Job 2: Cannot perform (indicated by a dash) - Job 3: 27 hours - Job 4: 22 hours - **Person 3**: - Job 1: 26 hours - Job 2: 20 hours - Job 3: 28 hours - Job 4: 28 hours - **Person 4**: - Job 1: 16 hours - Job 2: 22 hours - Job 3: Cannot perform (indicated by a dash) - Job 4: 14 hours - **Person 5**: - Job 1: 21 hours - Job 2: Cannot perform (indicated by a dash) - Job 3: 25 hours - Job 4: 28 hours **Note**: Dashes indicate that the person cannot perform that particular job. This table is useful for analyzing task allocation and workforce planning based on individual capabilities and job requirements.
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