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    Project Network-critical path

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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.

    © BrainMass Inc. brainmass.com March 4, 2021, 8:37 pm ad1c9bdddf


    Solution Preview

    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

    Activity Duration

    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
    •The earliest start time (EST) for the initial activity in a project is "time zero".
    •The EST of an activity is equal to the latest (or maximum) early finish time of the activities directly preceding it.
    •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.