Determine the critical path after you have found ES, EF, LS, LF and slack. State the path and time expected to be taken. What is the probability that the project would be completed within 27 weeks? What time should be allowed such that there is a 95% chance of completion within that time?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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You are provided with the following information for a project, with activity durations given in weeks:

 

Activity           Immediate       Optimistic       Most Likely    Pessimistic

                                    Predecessor     Time (a)          Time (m)         Time (b)

 

    A                     ____                2                      3                      4

 

    B                     ____                2                      4                      6

 

    C                     A                     1                      2                      3

 

    D                     B                     3                      6                      9

 

    E                     C, D                  7                      8                      9

 

    F                      D                     4                      7                      10

 

    G                     E                      3                      4                      5

 

    H                    E, F                  6                      9                      12

 

  • Determine the critical path after you have found ES, EF, LS, LF and slack. State the path and time expected to be taken.
  • What is the probability that the project would be completed within 27 weeks?
  • What time should be allowed such that there is a 95% chance of completion within that time?
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