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    PERT/CPM problem with three (3) time estimates

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    2. A project is composed of 8 tasks. The three-time estimates (in days) for each activity plus the precedence requirement for each are shown in the table below:

    Activity Activity Time Estimates
    (in days) ImmediatePredecessor
    A 2, 3, 4 None
    B 3, 4, 11 None
    C 1, 2, 3 A, B
    D 4, 5, 12 C
    E 3, 5, 7 C
    F 2, 3, 4 E
    G 2, 3, 10 C
    H 2, 3, 4 D, G, F
    I 2, 3, 10 D, F
    J 1, 2, 3 H
    K 1, 2, 3 I, J

    A. Draw a network for the project using AON method.
    B. Determines the critical path(s) and identify them by a) double lining the arrows connecting the activities on the CP (like ===) AND b) writing the letter representing the activities on the CP in the answer-sheet-set.
    C. Do a complete path analysis and fill the table in the answer-sheet set
    D. What are the chances that the project will finish within 25 days?
    E. What are the chances that the project will take longer than 23 days to finish?

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    Solution Preview

    A table incorporating ES, LS, EF, LF, Slack Time, and Critical Path
    Activity ES LS EF LF Slack Time Critical Path

    Solution Summary

    This solution solves a PERT/CPM problem. The step-by-step and detailed solution and illustration is shown in the attached file.