The following given information on a project (T in days)

Normal Crash Activity Predecessors Slope (crash cost per day) Maximum Time Direct Time Direct Crash Time Cost Cost Start 50 80 0. 4. 4. 50 $40 3 2 120 180 200 1 S60 $60 2 3 5 7 3 4. 60 D A 20 E $80 $30 200 160 170 2. 6. 40 4 F 2. 100 20 3 5 D, E, F $150 6. a. Draw an appropriate network diagram b. Use the forward pass/backward pass method to find the earliest start and finish, latest start and finish, and slack for each activity and identify the critical path. c. Under normal conditions, what is the earliest the project can be completed? d. What is the critical path? e. What is the total direct cost under normal conditions? f. If indirect costs are $100 per day, what is the optimal number of days that the project should be crashed?