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Problem 1. please show all your work. The following principal activities and their expected times and relationships have been identified: Activity H K L M N O P Time, Days 2 2 2 4 1 4 8 Immediate ---- I, J I, K K L O, M. N Predecessor a. Prepare a project network diagram. b. Calculate the scheduling times and total slack for each activity. c. List the critical path activities and expected project completion time. d. Explain why the PERT estimate of expected project duration is always optimistic