Determine critical path


Problem: Determine critical path and also need help in finding how to reduce the project time by a number of weeks.

Activity    Immediate Predecessor    Time (in weeks)
A                          none                          4
B                            A                             2
C                            A                             4
D                            A                             3
E                           B,C                           5
F                            C                             6
G                           D                             2
H                           E                              3
I                          F,G                             5
J                          H,I                             7

1. Draw the network diagram.

2. Find the critical path.

3. If activities A and J can't be shortened, yet activities B through I can be shortened to a minimum of one week at a price of $10,000 per week, which activities would you shorten to cut the project by four weeks?

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