project management

1. Consider the following table surrounding a project consisting of tasks A through I, as well as cach task duration and predecessors: Predecessors Duration days) 1 4 3 Activity A B D E F G H 1 6 2 7 9 4 A B CD EF D GH a. Draw an AON precedence network for this project. b. Show the critical path for the project on your diagram. c. Find the following quantities: carly and late starting times, early and late finishing times, total slack, free slack, and safety slack. 2. Using the data below, reduce the project completion time by four days. Assume a linear time-cost trade-off for each task and show, step by step, how you arrived at your schedule. Also indicate the critical path. Sot TH Activity Crash Time days) 9 10 B C D E F G H 1 Normal Time (days) 10 8 12 10 14 2 9 6 Normal Cost (5) 300 SO 120 100 140 70 90 60 Crasli Cost (5) 110 100 140 120 190 100 ISO 80 5 6 5