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    PERT diagram and set operations

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    1. Given the following table, make a PERT diagram, and determine the project time and the critical path. Provide a justification on how you obtain your project time and critical path.

    Task Time Preceding Tasks
    A 1 None
    B 2 A
    C 3 A
    D 4 B
    E 5 B, C
    F 2 C
    G 2 D, E, F

    2. Simplify expression: (B-A) UNION (B INTERSECTION A).
    Show the detailed, step-by-step, simplification and justification.

    3. Simplify expression: ((A-B) BAR) UNION A.
    Show the detailed, step-by-step, simplification and justification.

    © BrainMass Inc. brainmass.com October 10, 2019, 1:49 am ad1c9bdddf
    https://brainmass.com/math/discrete-math/pert-diagram-set-operations-350664

    Solution Summary

    We make a PERT diagram for the given table and determine the critical path and project time. Also, we give a detailed step-bystep proof of two set-theoretical identities. The solution is in a PDF file with an additional picture in a JPG file.

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