2. Six jobs must be processed through machine A and then machine B as shown below. The processing time for each job is also shown. a. b. Job 1 2 3 4 5 6 A 10 6 7 8 3 6 Machine (minutes) B 6 12 7 4 9 8 Develop a Gantt chart to determine the total time required to process all six jobs. Use the following sequence of jobs: 1, 2, 3, 4, 5, 6. Can you develop a better sequence to reduce the total time required for processing?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The total time required to process all six jobs is ________  minutes.

You have been asked to develop a new sequence to reduce the total time.  You results produced a timeline of ______________ minutes.

### Processing Jobs through Machines

**Task:** Six jobs need to be processed sequentially through two machines, Machine A and Machine B. The processing time for each job on both machines is outlined below:

| **Job** | **Machine A (minutes)** | **Machine B (minutes)** |
|---------|--------------------------|--------------------------|
| 1       | 10                      | 6                        |
| 2       | 6                       | 12                       |
| 3       | 7                       | 7                        |
| 4       | 8                       | 4                        |
| 5       | 3                       | 9                        |
| 6       | 6                       | 8                        |

#### Tasks:
  
a. **Gantt Chart Development:**
   - Create a Gantt chart to calculate the total time required to complete all six jobs using the sequence: 1, 2, 3, 4, 5, 6.

b. **Sequence Optimization:**
   - Determine a more efficient sequence to minimize the total processing time for all jobs. Consider potential alternatives and improvements.
Transcribed Image Text:### Processing Jobs through Machines **Task:** Six jobs need to be processed sequentially through two machines, Machine A and Machine B. The processing time for each job on both machines is outlined below: | **Job** | **Machine A (minutes)** | **Machine B (minutes)** | |---------|--------------------------|--------------------------| | 1 | 10 | 6 | | 2 | 6 | 12 | | 3 | 7 | 7 | | 4 | 8 | 4 | | 5 | 3 | 9 | | 6 | 6 | 8 | #### Tasks: a. **Gantt Chart Development:** - Create a Gantt chart to calculate the total time required to complete all six jobs using the sequence: 1, 2, 3, 4, 5, 6. b. **Sequence Optimization:** - Determine a more efficient sequence to minimize the total processing time for all jobs. Consider potential alternatives and improvements.
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