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I am having trouble completing a problem with an assignement: Consider the tasks, durations, and predecessor relationships in the following network. Draw the network and

I am having trouble completing a problem with an assignement:

Consider the tasks, durations, and predecessor relationships in the following network. Draw the network and answer the questions that follow. Submit your work in an Excel file.

Activity

Immediate

Predecessors)

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

Provide a diagram showing the network for this project.You may use the course software for this or any other part of this assignment.

(a) What is the expected duration of the project?Show all of the calculations required to answer this question.You may use the course software, if you do, identify your answer.

(b) What is the critical path for this project?Explain how you arrived at this answer.

(c) What is the probability of completion of the project 1.5 weeks after your expected completion time (found in part a)?Show all calculations and steps required to answer this question.

(d) What is the probability of finishing the project two weeks earlier than the expected completion time (found in part a)?Show all calculations and steps required to answer this question.

(e) Would you enter into a contract guarantying that you would complete the project within two weeks after the expected completion time?Be sure to fully explain your answer using data and probabilities.Identify the factors that you considered in answering this question.

(f) If you had to crash this project and had the choice of crashing activity F or G which activity would you choose to crash?Assume that each of these activities have equal crash costs.Fully explain your answer.

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