PERT

Consider the following table:

ACTIVITY PREC. ACT. TIME ESTIMATES (days)

t_o t_ml t_p t_e

A --- 2 2 2

B A 2 4 6

C A 1 4 7

D A 4 5 6

E B 6 7 8

F D 1 3 5

G E, C, F 2 4 6

Please make sure that you complete each part carefully! A mistake in any part will give you a wrong answer in the end!

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 the critical path. (20 points)

3. Find the completion time (x bar) and the standard deviation () for the project round off the standard deviation to the nearest hundredth: two decimal places. (10 points ea.)

4. What is the completion time at 68% and 95% confidence levels? (10 points ea)

5. What is the likelihood of this project being completed in less than 18 days? (10 points)

6. Between 17 and 19 days? (10 points)

Please show work! the question will not be answer unless you explain how you reach your conclusion.