The project consists of activities T1, T2, T3, T4, and T5 with their durations and dependencies. The initial critical path is T1, T3, and T5, but when the duration of T2 changes, the critical path becomes T1, T2, T4, and End.
Activity Diagram:
The activity diagram represents the flow of activities in the project. The diagram for the given project is as follows:
Start --> T1 --> T2 --> T4 --> End
|
--> T3 --> T5
In this diagram, the project starts with the "Start" node. From there, it progresses to T1, which has a duration of 1 unit. T2 and T3 are parallel activities that can start once T1 is completed. T2 has a duration of 2 units and T3 has a duration of 2 units. After T2 and T3 are completed, the project proceeds to T4, which has a duration of 10 units. From T4, the project goes to the "End" node, indicating the completion of the project. Additionally, from T3, there is another activity T5, which has a duration of 5 units.
Critical Path:
The critical path is the longest path in the project that determines the minimum duration required to complete the project. In the given project, the critical path is as follows:
T1 -> T3 -> T5
This means that for the project to be completed in the minimum duration, T1 must be completed first, followed by T3, and finally T5.
Updated Critical Path (after changing duration of T2 to 6 units):
When the duration of T2 is changed to 6 units, it affects the critical path. The updated critical path becomes:
T1 -> T2 -> T4 -> End
This means that T1 must be completed first, followed by T2, then T4, and finally reaching the "End" node. The change in duration of T2 has altered the sequence of activities on the critical path.