Question 2 (25 marks)

A project you are working on for a company involves a lot of new techniques and technologies. As a result, you and your colleagues have carried out an estimation of the times for the various jobs shown below (in days).

Task	Optimistic time	Most Likely Time	Pessimistic time	Predecessor
A	2	2	3
B	1	3	3	A
C	5	10	18	B
D	2	4	8	A
E	2	4	6	D
F	4	6	6	C, E
G	1	2	3	F, I
H	1	1	1	A
I	1	2	4	H

1. Given that everyone generally does not work weekends how likely is it that the job will be completed in 30 days?
2. The client has insisted that the job be finished in time how many days of weekend work should you budget for, in order to guarantee the project will be completed?

[10 marks]

After the initial consultation, the client is considering having some extra work done. They would like to know if you can free up 4 days from the original project for this work and what this would cost. (Ignore the cost of the extra work as this is quoted for separately).

	Normal cost	Crash Time (days)	Crash cost
A	100
B	200	1	400
C	80
D	1200	2	2000
E	1200	2	2000
F	2000	3	4000
G	600	1	1500
H	200
I	900	1	2000

3. Calculate the cost for an all normal level of project activity
4. Find the optimal way of reducing the project duration by 4 days and what this would cost
5. What is the shortest duration that the project could be completed?
6. What would the final cost be in case e)?

[15 marks]