Schedule Following Activities Using Cpm
ACTIVITY IMMEDIATE PREDECESSOR TIME (WEEKS)
A 1
B A 4
C A 3
D B 2
E C,D 5
F D 2
G F 2
H E,G 3
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Path 1:A–B–E–I = 14
Path 2:A–C–F–G–I = 18
Path 3:A–D–F–G–I = 18
Path 4:A–D–H–I = 13
![Network Diagram 1](https://gudwriter.com/wp-content/uploads/2022/12/image-1.png)
Network diagram 2
Path 1:A–B–E–I = 14
Path 2:A–C–F–G–I = 18
Path 3:A–D–F–G–I = 18
Path 4:A–D–H–I = 13
![Network Diagram 2](https://gudwriter.com/wp-content/uploads/2022/12/image-2.png)
b. What is the critical path?
![Critical Path 1](https://gudwriter.com/wp-content/uploads/2022/12/image-3.png)
![Critical Path 2](https://gudwriter.com/wp-content/uploads/2022/12/image-4.png)
![critical path 3](https://gudwriter.com/wp-content/uploads/2022/12/image-5.png)
{ Slack }= LF–EF = LS–ES
Critical Path 1:A–C–F–G–I
Critical Path 2:A–D–F–G–I
{ Slack }= LF–EF = LS–ES
![Critical Path formula 2](https://gudwriter.com/wp-content/uploads/2022/12/image-8.png)
C. Suppose you want to shorten the completion time as much as possible, and you have the option of shortening any or all of B, C, D, and G each one week. Which would you shorten?
Shorten G2
Shorten C & D together
![Shorten C & D together](https://gudwriter.com/wp-content/uploads/2022/12/image-9.png)
New network diagram after shortening C,D, and G each by two weeks
New Critical Path 1:A–B–E–I
New Critical Path 2:A–C–F–G–I
New Critical Path 3:A–D–F–G–I
New Project Completion Time: 14 weeks
![Network diagram after shortening C,D, and G each by two weeks](https://gudwriter.com/wp-content/uploads/2022/12/image-10.png)
![Gudwriter Custom Papers](https://gudwriter.com/wp-content/uploads/2021/02/gudwriter_cta2.png)
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