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Problem 1 A project involves the following activities, their predecessors, and the times (in weeks) associated with...

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General Management

Problem 1

A project involves the following activities, their predecessors,and the times (in weeks) associated with each activity.

Activity

Immediate Predecessor

Optimistic (a)

Most Likely (m)

Pessimistic (b)

A

--

1

2

3

B

--

2

3

4

C

--

3

4

5

D

A

4

5

12

E

B

1

3

5

F

B

3

4

11

G

C

5

6

13

H

D, E

8

9

10

I

F, G

4

5

6

J

H, I

1

1

1

a.   Draw a complete network for the above.

b.   Determine the criticalpath and list all the activities that are on the critical path.What is the expected project completion time?

c.   and Develop thedetailed activity schedule for the project (provide a table givingES, EF, LS, LF, and Slack).

d.   What is the probability that the project will befinished in 21 weeks or less?

e.   What is the probabilitythat the project will take between 19 to 21 weeks to becompleted?

f.    If activity F isdelayed and takes 10 weeks to complete, would the projectcompletion time be any different? If yes, what would be thecritical path and the expected completion time?

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