Fall 2021 Applied Management Science Sample Test * Network Optimization Model(PERT/CPM) * Given the activities and time estimates of a project as shown the following table. Time estimate (day) Activity Precedence a m b A 2 3 5 B A 3 5 8 B 10 13 20 D C 5 8 11 E B 4 7 8 F E 17 20 21 G 5 7 12 H D 2 3 5 I G H 1 2 3 J F, I 1 1 1 (1) Draw the network diagram of the given activities. (2) Find the expected time(mean) and variance of the given activities. (3) Find the critical path using both the enumeration method and the analytical methodlit uses Te and TL). (4) Find the probability that this project is finished within 30 days