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13. A construction project is broken down into the following 10 activities: IMMEDIATE PREDECESSOR ACTIVITY 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. b. Find the critical path? C. If activities 1 and 10 cannot be shortened, but activities 2 and 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?