Answer:
To draw a network diagram with activities at nodes, we need to follow these steps:
1. Identify the activities and their immediate predecessors:
- Activity A has no immediate predecessor.
- Activity B's immediate predecessor is A.
- Activity C's immediate predecessor is A.
- Activity D's immediate predecessor is B.
- Activity E's immediate predecessors are D and E (as mentioned in the question).
- Activity F's immediate predecessor is D.
- Activity G's immediate predecessor is C.
2. Assign durations to each activity:
- Activity A has a duration of 5 weeks.
- Activity B has a duration of 3 weeks.
- Activity C has a duration of 7 weeks.
- Activity D has a duration of 6 weeks.
- Activity E has a duration of 7 weeks.
- Activity F has a duration of 3 weeks.
- Activity G has a duration of 10 weeks.
- Activity H has a duration of 8 weeks.
3. Draw the network diagram:
- Start by drawing a node for each activity.
- Connect the nodes based on their immediate predecessors.
- Label each connection with the activity's duration.
- Ensure that the connections flow from left to right.
Here's an example of how the network diagram might look:
```
5
(Start) -> (A)
\
\ 3
\
v
(B)
/ \
/ \
6 7
/ \
v v
(D) (C)
| |
| | 10
v v
(F) (G)
| |
| | 8
v v
(H) (End)
```
In this diagram, the "Start" node represents the beginning of the project, and the "End" node represents the completion of the project. The numbers next to the connections indicate the durations of each activity.
I hope this helps! Let me know if you have any further questions.
Step-by-step explanation: