A partially solved PERT problem is detailed in the table below. Times are given in weeks.

Activity	Immediate Predecessor(s)	Optimistic Time	Most Likely Time	Pessimistic Time
A	--	5	11	14
B	-	3	3	9
C	--	6	10	14
D	A, B	3	5	7
E	B	4	6	11
F	C	6	8	13
G	D, E	2	4	6
H	F	3	3	9
I	G	2	4	6
J	H	4	7	9
K	I, J	4	7	8

a) Calculate the expected duration (D), and variance of each activity.

b) Calculate ES, EF, LS, LF, S for each activity.

Activity	ET	Variance	ES	EF	LS	LF	S
A	Answer	Answer	Answer	Answer	Answer	Answer	Answer
B	Answer	Answer	Answer	Answer	Answer	Answer	Answer
C	Answer	Answer	Answer	Answer	Answer	Answer	Answer
D	Answer	Answer	Answer	Answer	Answer	Answer	Answer
E	Answer	Answer	Answer	Answer	Answer	Answer	Answer
F	Answer	Answer	Answer	Answer	Answer	Answer	Answer
G	Answer	Answer	Answer	Answer	Answer	Answer	Answer
H	Answer	Answer	Answer	Answer	Answer	Answer	Answer
I	Answer	Answer	Answer	Answer	Answer	Answer	Answer
J	Answer	Answer	Answer	Answer	Answer	Answer	Answer
K	Answer	Answer	Answer	Answer	Answer	Answer	Answer

c) Which activities form the critical path?	AnswerCFHJKADGIKBDGIKBEGIK
d) What is the estimated time of the critical path?	Answer	weeks
e) If the project is due to be completed in 34 weeks, what is the probability that the project will be completed on the due date?	Answer	%
f) If the project manager wants at least a 95% probability that the project will be completed on the due date, what is the shortest project due date that will satisfy the manager?	Answer	weeks
g) Which activity(ies) can be delayed 10.83 weeks without impacting the expected project completion date?	AnswerB and EB and CBEA and H
h) How many week(s) can you delay the activity D, without impacting the expected project completion date?