PART I: PERT

Consider the following table:

ACTIVITY PREC. ACT. TIME ESTIMATES (days)

to tml tp te

A --- 2 3 4

B A 2 4 6

C A 4 6 8

D A 4 5 6

E B 6 7 8

F D 1 3 5

G E, C, F 3 5 7

1. Construct a PERT network. (20 points)

[NOTE: This is the most crucial part of the exercise. Make sure you have the correct network before proceeding to the next sections.]

2. By using ES, EF, LF, LS, find the slack of each activity and clearly state the critical path. (10 points)

3. Find the completion time ( ) and the standard deviation () for the project round off the standard deviation to the nearest hundredth: two decimal places. (20 points)

[NOTE: Sigma is only computed on the critical path.]

4. What is the completion time at 68% and 95% confidence levels? (20 points)

5. What is the likelihood of this project being completed in more than 20 days? (15 points)

6. Between 16 and 18 days? (15 points)