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A construction project is broken down into 10 activities:

A construction project is broken down into 10 activities:

Activity - Immediate Predecessor - Time (Weeks)
1 - None - 4
2 - 1 - 2
3 - 1 - 4
4 - 1 - 3
5 - 2,3 - 5
6 - 3 - 6
7 - 4 - 2
8 - 5 - 3
9 - 6,7 - 5
10 - 8,9 - 7

a. Draw the network diagram.
b. Find the critical path.
Draw the network diagram.
b. Find the critical path.
c. If activities 1 and 10 cannot be shortened, but activities 2 through 9 can be shortened to a minimum of one week each at a cost of $10,000 per week, which activities would you shorten to cut the project by four weeks?
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