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The time estimates (in weeks) for the activities of a PERT network are given below. Activity Optimistic time Most likely time Pessimistic time 1-2 1 7 1-3 4 7 1-4 2 2 8 2-5 1 3-5 2 2 14 4-6 8 5-6 3 15 a) Draw the project network and identity all the paths through it b) Determine the expected project length c) Calculate the standard deviation and variance of the project length d) What is the probability that the project will be completed; i). At least 4 weeks earlier than expected time? i). No more than 4 weeks later than expected time? e) If the project due date is 19 weeks, what is the probability of not meeting e due date? f) Find the probability that the project will be completed on schedule if the s heduled completion time is 20 weeks. g) What should be the scheduled completion time for the probability of com 556

The time estimates (in weeks) for the activities of a PERT network are given below. Activity Optimistic time Most likely time Pessimistic time 1-2 1 7 1-3 4 7 1-4 2 2 8 2-5 1 3-5 2 2 14 4-6 8 5-6 3 15 a) Draw the project network and identity all the paths through it b) Determine the expected project length c) Calculate the standard deviation and variance of the project length d) What is the probability that the project will be completed; i). At least 4 weeks earlier than expected time? i). No more than 4 weeks later than expected time? e) If the project due date is 19 weeks, what is the probability of not meeting e due date? f) Find the probability that the project will be completed on schedule if the s heduled completion time is 20 weeks. g) What should be the scheduled completion time for the probability of com 556

Practical Management Science
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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The time estimates (in weeks) for the activities of a PERT network are given below. Activity Optimistic time Most likely time Pessimistic time 7 1-2 1 1-3 1-4 1 4 7 2 2 8 2-5 1 1 3-5 2 5 14 4-6 2 5 8 15 a) Draw the project network and identity all the paths through it 5-6 3 6 b) Determine the expected project length c) Calculate the standard deviation and variance of the project length d) What is the probability that the project will be completed; i). At least 4 weeks earlier than expected time? iI). No more than 4 weeks later than expected time? e) If the project due date is 19 weeks, what is the probability of not meeting th e due date? f) Find the probability that the project will be completed on schedule if the sc heduled completion time is 20 weeks. g) What should be the scheduled completion time for the probability of compl etion to be 90%.
Transcribed Image Text:The time estimates (in weeks) for the activities of a PERT network are given below. Activity Optimistic time Most likely time Pessimistic time 7 1-2 1 1-3 1-4 1 4 7 2 2 8 2-5 1 1 3-5 2 5 14 4-6 2 5 8 15 a) Draw the project network and identity all the paths through it 5-6 3 6 b) Determine the expected project length c) Calculate the standard deviation and variance of the project length d) What is the probability that the project will be completed; i). At least 4 weeks earlier than expected time? iI). No more than 4 weeks later than expected time? e) If the project due date is 19 weeks, what is the probability of not meeting th e due date? f) Find the probability that the project will be completed on schedule if the sc heduled completion time is 20 weeks. g) What should be the scheduled completion time for the probability of compl etion to be 90%.
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