# 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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## a. Draw the network.

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

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

## b. What is the critical path?

{ 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

## 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

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

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