QUESTION 4: Project Management (25 points)

Part I (17 points)

Consider the following project network and its activity times.

8

5

1. Compute ES, EF, LS, LF, slack for each activity. (6 points)

Activity	TIME (WEEKS)	ES	EF	LS	LF	Slack
A	6
B	5
C	3
D	5
E	4
F	6
G	8
H	7

2. What are the critical path(s) and the minimum time to complete the project? (4 points)

Critical path(s): ______________

Minimum time to complete the project: __________

3. Now assume that the duration of some activities is not known with certainty. The estimates of these activities are shown below. Assuming that the duration of the other activities remains unchanged, answer the following questions.

Activity	Expected Time (Weeks)	Variance
A	6	0.4
B	5	0.5
D	5	0.75
F	8	1.5
H	7	2

1. Given this new information, what is the projects expected completion time and standard deviation? Show your work. (4 points)

2. Calculate the probability of completing the project in 17 weeks. (3 points)