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A) Two manufacturing facilities are integrating their inventory management systems as a result of operations consolidation. Preliminary analysis and interviews with all parties involved resulted in the following project information. All times are in weeks. 

Your task is to identify the following:

1. Critical path

2. Total project completion time 

ACTIVITY

IMMEDIATE PREDECESSORS

TIME (IN WEEKS)

A

-

3

B

A

1

C

A

2

D

B,C

3

E

C

5

F

C

3

G

E

7

H

E,F

5

I

D,G,H

8

B) Zentaur, Inc. started creating a new digital imaging system. They found out that their has a similar product under study, but has not yet been able to begin production. Because of the competitor's action, top managers have asked for a speedup of R&D activities so that Zentaur can produce and market their system at the soonest possible date. The predecessor information and activity time estimates in months are shown below.

Your task:

1. Identify the critical path

2. Compute activity slack time

3. Identify project completion time

Activity

Immediate Predecessors

Optimistic Time

Most Probable Time

Pessimistic Time

A

--

1

1.5

5

B

A

3

4

5

C

A

1

2

3

D

B,C

3.5

5

6.5

E

B

4

5

12

F

C,D,E

6.5

7.5

11.5

G

E

5

9

13

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