The estimated times and immediate predecessors for the activities in a project at George Kyparis's retinal scan- ning company are given in the following table. Assume that the activity times are independent. a) Calculate the expected time and variance for each activity. b) What is the expected completion time of the critical path? What is the expected completion time of the other path in the network? c) What is the variance of the critical path? What is the vari- ance of the other path in the network? d) If the time to complete path A-C is normally distributed, what is the probability that this path will be finished in 22 weeks or less? e) If the time to complete path B-D is normally distributed, what is the probability that this path will be finished in 22 weeks or less? f) Explain why the probability that the critical path will be finished in 22 weeks or less is not necessarily the probabil- ity that the project will be finished in 22 weeks or less. TIME (WEEKS) IMMEDIATE ACTIVITY PREDECESSOR a A 9 10 11 B 4 10 16 A 9. 10 11 D 5 8 11

The estimated times and immediate predecessors for the activities in a project at George Kyparis's retinal scan- ning company are given in the following table. Assume that the activity times are independent. a) Calculate the expected time and variance for each activity. b) What is the expected completion time of the critical path? What is the expected completion time of the other path in the network? c) What is the variance of the critical path? What is the vari- ance of the other path in the network? d) If the time to complete path A-C is normally distributed, what is the probability that this path will be finished in 22 weeks or less? e) If the time to complete path B-D is normally distributed, what is the probability that this path will be finished in 22 weeks or less? f) Explain why the probability that the critical path will be finished in 22 weeks or less is not necessarily the probabil- ity that the project will be finished in 22 weeks or less. TIME (WEEKS) IMMEDIATE ACTIVITY PREDECESSOR a A 9 10 11 B 4 10 16 A 9. 10 11 D 5 8 11

Practical Management Science

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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