Construct a project network with the following precedence relationships:

Activity	Predcessors	Duration
		Optimistic	Most Likely	Pessimistic
A	None	3	4	11
B	A	2	5	8
C	A	3	6	9
D	B, C	8	12	20
E	B	3	5	12
F	D	2	4	7
G	C	6	9	14
H	E, F, G	1	2	4

1. Check the consistency of your network.
2. Find the critical path and project duration of this project.
3. Determine the probability of completing the project 2 days earlier.
4. Determine the sequence of activities that constitute the second and third critical paths, that is, the paths of the second and third longest duration.
5. Based on the first, second and third critical paths determine the four most critical activities. Explain your reasons for choosing these four activities.
6. Find a time, say x, such that the probability of project completion time exceeding x

is less than approximately 0.10.

7. If the total available resources for this network are 3 units and the resources required for activities A through H are as follows:

Activity	Resources Required
A	2
B	1
C	2
D	1
E	1
F	2
G	1
H	1

1. Find the duration to complete all activities using the ACTIM approach.
2. Find the duration to complete all activities using ACTRES approach.