Problem 1

A project involves the following activities, their predecessors, and the times (in weeks) associated with each activity.

Activity	Immediate Predecessor	Optimistic (a)	Most Likely (m)	Pessimistic (b)
A	--	1	2	3
B	--	2	3	4
C	--	3	4	5
D	A	4	5	12
E	B	1	3	5
F	B	3	4	11
G	C	5	6	13
H	D, E	8	9	10
I	F, G	4	5	6
J	H, I	1	1	1

a. Draw a complete network for the above.

b. Determine the critical path and list all the activities that are on the critical path. What is the expected project completion time?

c. and Develop the detailed activity schedule for the project (provide a table giving ES, EF, LS, LF, and Slack).

d. What is the probability that the project will be finished in 21 weeks or less?

e. What is the probability that the project will take between 19 to 21 weeks to be completed?

f. If activity F is delayed and takes 10 weeks to complete, would the project completion time be any different? If yes, what would be the critical path and the expected completion time?