Final answer:
To find the critical path in a network, you need to calculate the duration of each path and identify the longest one. In this case, the critical path is A - B - C with a duration of 15 days.
Step-by-step explanation:
A critical path in a network refers to the longest path in terms of time that connects the start and end points of the network. It represents the sequence of activities that must be completed in order to ensure that the project is completed on time.
To find the critical path, you need to determine the duration of each activity and calculate the total duration for each possible path. The critical path is the one with the longest duration. In this case, you can use the given activity times to calculate the duration of each path and identify the critical path.
For example, let's say the network consists of three activities:
- Activity A: 5 days
- Activity B: 3 days
- Activity C: 7 days
The possible paths and their durations are:
- A - B - C: 5 + 3 + 7 = 15 days
- A - C: 5 + 7 = 12 days
- B - C: 3 + 7 = 10 days
Based on these calculations, the critical path is A - B - C with a duration of 15 days.