The manager of the Oak Hills Swimming Club is planning the club's swimming team program. The first team practice is scheduled for May 1. The activities, their immediate predecessors, and the activity time estimates (in weeks) are as follows: Activity Description Immediate Predecessor Optimistic Time (weeks) Pessimistic Most Probable A Meet with board -- 1 1 2 B Hire coaches A 4 6 8 C Reserve pool A 2 4 6 D Announce program B, C 1 2 3 E Meet with coaches B 2 3 4 F Order team suits A 1 2 3 G Register swimmers D 1 2 3 H Collect fees G 1 2 3 I Plan first practice E, H, F 1 1 1 a. What are the critical activities, and what is the expected project completion time? b. If the club manager plans to start the project on January 19, what is the probability the swimming program will be ready by the scheduled May 1 date (15 weeks)? Should the manager begin planning the swimming program before January 19? 13.20. Norton Industries is installing a new computer system. The activities, the activity times, and the project network are as follows: Activity A B C D Time 3 6 2 5 Activity E F G H Time 4 3 9 3 The critical path calculation shows B-D-E-F-H is the critical path, and the expected project completion time is 21 weeks. After viewing this information, management requested overtime be used to complete the project in 16 weeks. Thus, crashing of the project is necessary. The following information is relevant: Activity A B C D E F G H Time (weeks) Normal Crash 3 1 6 3 2 1 5 3 4 3 3 1 9 4 3 2 Cost ($) Normal 900 2000 500 1800 1500 3000 8000 1000 Crash 1700 4000 1000 2400 1850 3900 9800 2000 a. Solve the linear programming model and make the minimum cost crashing decisions. What is the added cost of meeting the 16-week completion time? b. Develop a complete activity schedule based on the crashed activity times