Answer :
To calculate slack, subtract the duration of the activity from the latest finish time of the activity. To calculate the slack for the project, subtract the duration of each activity from its LFT. Activities with zero slack are on the critical path.
1. To calculate slack, we need to determine the critical path of the project. The critical path is the longest path through the network diagram and represents the shortest possible time for completing the project.
2. Calculate the earliest start time (EST) and earliest finish time (EFT) for each activity. EST for an activity is the maximum of the EFT of its predecessor activities, and EFT is calculated by adding the duration of the activity to its EST.
3. Calculate the latest finish time (LFT) and latest start time (LST) for each activity. LFT for an activity is the minimum of the LST of its successor activities, and LST is calculated by subtracting the duration of the activity from its LFT.
4. Subtract the duration of each activity from its LFT to calculate the slack. Slack is the amount of time an activity can be delayed without delaying the project.
5. The activities with zero slack are on the critical path, while activities with positive slack can be delayed without affecting the project's duration.
In conclusion, to calculate the slack for the project, subtract the duration of each activity from its LFT. Activities with zero slack are on the critical path.
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