Draw the PERT network associated with the following project: Activity Immediate Predecessor(s) A B C D E F G H A A B B C D E, F
Draw the PERT network associated with the following project: Activity Immediate Predecessor(s) A B C D E F G H A A B B C D E, F
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![### Activity Network for Project Management
### Construction of PERT Network:
To effectively manage a project and understand the sequence of activities and their dependencies, a Program Evaluation Review Technique (PERT) network is essential. Below is the list of activities and their immediate predecessors, which form the foundation for drawing the PERT network.
#### Activity and Immediate Predecessor(s):
```
| Activity | Immediate Predecessor(s) |
|----------|--------------------------|
| A | - |
| B | A |
| C | A |
| D | B |
| E | B |
| F | C |
| G | D |
| H | E, F |
```
### Explanation:
1. **Activity A** has no immediate predecessors, meaning it is the starting point of the project.
2. **Activity B** can only start after Activity A is completed.
3. **Activity C** also depends on the completion of Activity A.
4. **Activity D** requires Activity B to be finished before it can be initiated.
5. **Activity E** like Activity D, depends on the completion of Activity B.
6. **Activity F** can only start after Activity C is completed.
7. **Activity G** requires Activity D to be completed.
8. **Activity H** can only start after both Activities E and F are completed.
### How to Draw the PERT Network:
1. **Start Node**: Begin with the initiation node representing the start of Activity A.
2. **Nodes and Arrows**:
- Draw an arrow from the start node to a node representing Activity A.
- From Activity A, draw arrows leading to two separate nodes: B and C.
- From B, draw arrows leading to two separate nodes: D and E.
- From C, draw an arrow leading to a node for Activity F.
- From D, draw an arrow leading to a node for Activity G.
- Finally, draw arrows from both E and F, leading to a final node representing Activity H.
3. **End Node**: Mark the end node after Activity H completion.
The resulting diagram should visually encapsulate the dependencies as listed and allow one to visually sequence and plan the project efficiently.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45ca41ad-593a-47be-ba58-1becf5d74f6e%2Fdad95970-5425-4100-90c4-1273788d4e2b%2Fptnhyh6o_processed.png&w=3840&q=75)
Transcribed Image Text:### Activity Network for Project Management
### Construction of PERT Network:
To effectively manage a project and understand the sequence of activities and their dependencies, a Program Evaluation Review Technique (PERT) network is essential. Below is the list of activities and their immediate predecessors, which form the foundation for drawing the PERT network.
#### Activity and Immediate Predecessor(s):
```
| Activity | Immediate Predecessor(s) |
|----------|--------------------------|
| A | - |
| B | A |
| C | A |
| D | B |
| E | B |
| F | C |
| G | D |
| H | E, F |
```
### Explanation:
1. **Activity A** has no immediate predecessors, meaning it is the starting point of the project.
2. **Activity B** can only start after Activity A is completed.
3. **Activity C** also depends on the completion of Activity A.
4. **Activity D** requires Activity B to be finished before it can be initiated.
5. **Activity E** like Activity D, depends on the completion of Activity B.
6. **Activity F** can only start after Activity C is completed.
7. **Activity G** requires Activity D to be completed.
8. **Activity H** can only start after both Activities E and F are completed.
### How to Draw the PERT Network:
1. **Start Node**: Begin with the initiation node representing the start of Activity A.
2. **Nodes and Arrows**:
- Draw an arrow from the start node to a node representing Activity A.
- From Activity A, draw arrows leading to two separate nodes: B and C.
- From B, draw arrows leading to two separate nodes: D and E.
- From C, draw an arrow leading to a node for Activity F.
- From D, draw an arrow leading to a node for Activity G.
- Finally, draw arrows from both E and F, leading to a final node representing Activity H.
3. **End Node**: Mark the end node after Activity H completion.
The resulting diagram should visually encapsulate the dependencies as listed and allow one to visually sequence and plan the project efficiently.
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