Immediate Predecessors QUESTION 5 (20 POINTS) Consider a project with following activities and data: Activity Normal Time Normal Cost Crash time (Weeks) ( per activity) (Weeks) 2 50 1 B 5 80 2 7 70 4 D 6 60 5 E 7 100 6 F 4 40 2 G 5 100 4 Crash Cost ( per week) 20 40 10 20 25 10 60 A B D C, E, F a. (10 pts) Construct the network diagram and apply Critical Path Method. Using normal activity times, calculate and properly label the earliest start time, the latest start time, the earliest finish time, and the latest finish time for each task on the network diagram. Indicate the critical path when normal activity times are used. b. (10 pts) Consider project durations of 14, 15, 16, 17, 18, and 19 weeks, and calculate the minimum total direct cost (normal cost + crash cost) for each project duration based on the cost associated with each activity. Suppose that the total indirect costs for different project durations are as follows: 400 for 19 weeks, 350 for 18 weeks, 300 for 17 weeks, 250 for 16 weeks, 200 for 15 weeks, and 150 for 14 weeks. What is the total project cost for each project duration? Indicate the duration(s) with the minimum total project cost