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PERT-CPM A local bank is planning to install a new computerized accounts system which requires the implementation of the following activities. The time estimates for each of the activities are given in the table below. a. Draw the network diagram. b. Estimate the average time for completing each activity c. Determine the critical path and the project completion. d. What is the probability that this project can be completed in 40 weeks or less? Time Estimates (weeks) b a 17 DU Activity Activity Activity Description Predecessor a Position recruiting b System development System training d Equipment training e Manual system test b, c f Preliminary system changeover b,c g Computer-personnel interface d, h Equipment modification de Equipment testing h j System debugging and installation k Equipment changeover 5 3 4 5 1 1 3 1 1 2 5 8 12 7 8 1 4 6 15 10 23 1 13 9 7 1 2 DO 0 2.5 f,8 UN ON 1 2 8 8i 11 The following table provides crash data for Problem #1 with normal activity times considered to be deterministic. How much would it cost to complete the project in 26 weeks? What will be the critical path for the project? Identify each crashing activity, the resulting critical path and the cost. (40 points) Activity b d 11 Activity Time (weeks) Normal Crash 9 7 9 7 5 10 8 1 1 5 3 6 5 3 3 1 1 2. 8 6 Activity Cost Normal Crash $4,800 $ 6,300 9,100 15,500 3,000 4,000 3,600 5,000 0 0 1,500 2,000 1,800 2,000 0 0 0 0 0 0 5,000 7,000 f h i j k 00 Na un N