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 Construct the project network.Determine the expected times and variances for the activities.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?

The question is related to Programme Evaluation Review Technique (PERT). The expected duration will…

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6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

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

Construct the project network.
Determine the expected times and variances for the activities.
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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