(a) Draw the AON (activity on node) network for this project (add a Start node and/or an End/Finish node to your network as required).

(b) Determine the expected completion time and the standard deviation for each activity. Summarize your calculations in the form of a table with appropriate headings.

(c) Using the expected completion times calculated in part (b), find the earliest start times, earliest finish times, latest start times, latest finish times, and slack for each activity. Summarize your calculations in the form of a table showing the activity schedule

(d) Determine the (expected) project completion time and the critical path for the project.

(e) What is the probability that McGee Carpet and Trim will finish the project in 20 days or less?

f) How many days should be allowed to give a 95% probability of completing the project (i.e. critical path based expected completion times) on time?

McGee Carpet and Trim installs carpets in commercial offices. Andrea McGee has been concerned with the amount of time it took to complete several recent jobs. Some of her workers are very unreliable. A list of activities and their optimistic completion time, the most likely completion time, and the pessimistic completion time (all in days) for a new contract are given in the following table. Time (days) Most Probable m 3 Optimistic a 2 Activity A Pessimistic b 4 Immediate Predecessor(s) B 2 4 6 A 1 2 3 D 1 3 5 B E N 2 3 4 D F 1 4 7 B, C G N N 2 B, C H 2 5 8 F I 1 3 5 F G J 2 3 4 HI