Chapter 9 1. Define and explain all the following terms below: a. Path: b. Activity c. Early Start d. Early Finish e. Late Start f. Late Finish g. Forward Pass h. Backward Pass i. Node j. AON k. Float

326 Chapter 9 • Project Scheduling 9.6 Your university is holding a fund-raiser and will be hir - ing a band to entertain spectators. You have been selected to serve as the event project manager and have created a Work Breakdown Structure and duration estimates for the activities involved in site preparation for the event.

Construct a network activity diagram based on the follow- ing information:

Activity Description Predecessors Duration (Days) A Site selection None4 B Buy concessions A4 C Rent facilities A2 D Build stands A5 E Generator & wiring installation C2 F Security B4 G Lighting installation E 2 H Sound system installation E, F2 I Stage construction D 3 J Tear down G, H, I4 a. Conduct both a forward and backward pass using AON notation. What is the estimated total duration for the project?

b. Identify all paths through the network. Which is the critical path?

c. Which activities have slack time?

d. Identify all burst activities and merge activities.

9.7 Consider the following project tasks and their identi- fied best, likely, and worst-case estimates of task duration.

Assume the organization you work for computes TE based on the standard beta distribution formula. Calculate the TE for each of the following tasks (round to the nearest integer):

Activity Best likely Worst te A 5 5 20 B 3 5 9 C 721 26 D 4 4 4 E 10 20 44 F 315 15 G 6 9 11 H 32 44 75 I 12 17 31 J 2 8 109.8 Consider the following project tasks and their identi- fied best, likely, and worst-case estimates of task duration.

Assume the organization you work for computes TE based on the standard beta distribution formula. Calculate the TE for each of the following tasks (round to the nearest integer): Activity Best likely Worst te A 4 5 10 B 4 6 9 C 2 5 8 D 5 8 10 E 12 16 20 F 610 12 G 5 9 14 H 14 16 22 I 10 14 20 J 1 2 5 9.9 Using the information from the following table, create an AON network activity diagram.

a. Calculate each activity TE (rounding to the nearest integer); the total duration of the project; its early start, early finish, late start, and late finish times; and the slack for each activity. Finally, show the project’s critical path.

b. Now, assume that activity E has taken 10 days past its anticipated duration to complete. What happens to the project’s schedule? Has the duration changed? Is there a new critical path? Show your conclusions.

Activity Preceding Activities Best likely Worst A — 12 15 25 B A 4 6 11 C — 12 12 30 D B, C 815 20 E A 712 15 F E 9 9 42 G D, E 13 17 19 H F 510 15 I G11 13 20 J G, H 2 3 6 K J, I 812 22 9.10 An advertising project manager has developed a program for a new advertising campaign. In addition, the manager has gathered the time information for each activity, as shown in the following table.