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Find earliest completion time, slack for activities, and critical path for the project network shown in the diagram.

See attached file.

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The answers are in the attached Excel file.

Project Network
Number in parentheses is weeks.
Earliest completion time
Slack for activities
Critical path

Note: There are two activities labeled i
One of them, connecting Nodes 6 and 7 has been relabeled as L

For each activity calculations are being done alongside

EST EFT
Activity Duration
LST LFT

EST = Earliest Start Time
LST = Latest Start Time
EFT = Earliest Finish Time
LFT = Latest Finish Time

We first calculate Earliest Start Time in the Forward Pass
Earliest Finish Time= Earliest Start Time+ Duration

When we reach the end of network
For the last node , Latest Finish Time = Earliest Finish Time
Then we do Backward Pass calculating Latest Finish Time for each activity
Latest Start time= Earliest Start time for the activity - Duration of the activity

The Forward Pass
â€¢The earliest start time (EST) for the initial activity in a project is "time zero".
â€¢The EST of an activity is equal to the latest (or maximum) early finish time of the activities directly preceding it.
â€¢The EFT of an activity is equal to its EST plus the time required to perform the activity.

The Backward Pass

- The latest finish time (LFT) for the final activity in a project is equal to its EFT as ...

Solution Summary

Earliest completion time, slack for activities, and critical path are calculated for a Project Network diagram.

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