Time in Workdays

Activity	Optimistic	Most Likely	Pessimistic
A	4	7	10
B	2	4	8
C	2	5	8
D	16	19	28
E	6	9	24
F	1	7	13
G	4	10	28
H	2	5	14
I	5	8	17
J	2	5	8
K	17	29	45

1. Draw a project network diagram from the information given, showing the ES, EF, LS, LF times.
2. Which is the critical path?
3. How long will it take to complete the project?
4. What are the respective floats on activities D & I?
5. According to this baseline schedule what are the latest start dates for activities E and K?
6. What is the impact on project duration if activity D takes three days longer than planned?
7. If the average duration for sourcing capital projects is 70 days, what is likelihood that this project will be completed on time?

Consider the following data for activities in a hypothetical project:

Activity	Predecessor	Estimated time in weeks
		o	m	p
A	-	1	2	5
B	-	1	2	6
C	-	3	4	7
D	-	4	8	13
E	A, F	2	3	4
F	B	3	4	5
G	C, D, E	2	3	5
H	D, G	1	2	5
I	E	2	7	15
J	G	6	8	9
K	J, I	1	2	4
L	H	2	3	8

Required

1. Draw and label the network diagram.
2. Determine the critical path.
3. What is the probability of completing this project in 21 weeks?