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A construction project is broken down into the following 10 activities:

Activity Immediate Predecessor Time (weeks)

1 ---- 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.

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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