Activity	Predecessor	Duration	Pessimistic Time	Optimistic Time	Crash Time	Normal Cost ($)	Crash Cost ($)
Start	None	0
A	Start	1	3	1	1	600	600
B	Start	2	4	1	1	1000	1550
C	Start	6	9	4	4	1500	2500
D	A	10	13	7	6	500	1100
E	B,C	1	3	1	1	300	300
F	C	2	5	1	1	2000	2500
G	D	3	4	2	2	1800	2200
H	E	9	11	6	6	3000	4200
I	F	1	4	1	1	1200	1200
End	G,H, I	0

You have been assigned as the project manager on a project with the above information in the table.

There is a lag of 2 weeks between activity C and E.

2. Determine the project variance (4 marks)
3. If you need a 95% confidence in the project finishing on time; how much additional time will

be required. Z=1.96 for 95% confidence level (5 marks)

4.What is the probability of completing the project in two(2) more weeks and two(2) less weeks The project duration? What is the probability of completing the project at the project duration.? ( 4+4+4 marks)

5. What is the cost of completing the project in normal time? (2 marks)

i.If i need to reduce the project by three(3) weeks which activity(ies) should be crashed and by

how much will this increase the project cost? (4 marks)

ii. If i need to reduce the project by 5 weeks which activity(ies) should be crashed and by how

much will this increase the project cost? (4 marks)

iii. Which activity can be delayed the longest and which activities cannot be delayed(3+2 marks)