What is the expected time for activity B?  What is the variance for activity B?  Based on the calculation of estimated times, what is the critical path?  What is the estimated time of the critical path?

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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Question

Consider the activities, durations, and predecessor relationships in the following network. Draw the network and answer the questions that follow. 

 

Activity Description

Immediate

Predecessor(s)

Optimistic

(Weeks)

Most Likely

(Weeks)

Pessimistic

(Weeks)

A

---

4

7

10

B

A

2

8

20

C

A

8

12

16

D

B

1

2

3

E

D, C

6

8

22

F

C

2

3

4

G

F

2

2

2

H

F

6

8

10

I

E, G, H

4

8

12

J

I

1

2

3

 

  1. What is the expected time for activity B? 
  2. What is the variance for activity B? 
  3. Based on the calculation of estimated times, what is the critical path? 
  4. What is the estimated time of the critical path? 
  5. What is the activity variance along the critical path? 
  6. What is the probability of completion of the project before week 42?
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