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Use the following information to answer the questions that follow. Some of your project’s activities are listed below, with time estimates given in days. Activities A and N have been identified as critical. Activity Optimistic Most Likely Pessimistic A 4 6 12 B 2 3 3 D 1 2 3 F 1 2 4 N 2 5 8 What is the expected time to complete the project? 3.17 7.0 11.67 18.67

Use the following information to answer the questions that follow. Some of your project’s activities are listed below, with time estimates given in days. Activities A and N have been identified as critical. Activity Optimistic Most Likely Pessimistic A 4 6 12 B 2 3 3 D 1 2 3 F 1 2 4 N 2 5 8 What is the expected time to complete the project? 3.17 7.0 11.67 18.67

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Use the following information to answer the questions that follow. Some of your project’s activities are listed below, with time estimates given in days. Activities A and N have been identified as critical.

Activity Optimistic Most Likely Pessimistic
A 4 6 12
B 2 3 3
D 1 2 3
F 1 2 4
N 2 5 8

What is the expected time to complete the project?

  1. 3.17
  2. 7.0
  3. 11.67
  4. 18.67
Expert Solution
Step 1

expected Activity  time = (Optimistic + 4*Most likely + Pessimistic) /6    

Expected time of Activity A= (4 + 4*6 + 12 ) / 6 = 6.67

Expected time of Activity N =  (2 + 4*5 + 8) / 6 = 5

 

Given that Activity A and N are critical 

Critical Path = A-N

Critical Path Duration = 6.67 + 6 = 11.67

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