The following table provides data for a project. Use the data to answer the following questions

Activity	Immediate Predecessor	Time Estimates (weeks)
		Optimistic	Most Likely	Pessimistic	Expected	Variance
A	-	6	7	14
B	-	8	10	12
C	A	2	3	4
D	A	6	7	8
E	B,C	5	5.5	9
F	B,C	5	7	9
G	D,E	4	6	8
H	F	2.5	3	3.5

1. Draw a network to represent the above project.
2. What is the critical path? What is the expected completion time? What is the variance of the project completion time? (Complete the expected task time and variance of time calculations.)
3. The project manager realizes that it is best to take at least 20 weeks to complete the project. However, she also thinks that delaying the project past 26 weeks will result in considerable loss for the company. What is the probability that it will take between 20 and 26 weeks to complete the project?
4. For the next two parts, assume that the expected times you calculated are the deterministic single point estimates of time. Because of work in other projects, the manager realizes that is very likely that activity B will take 5 more weeks than initially determined. What is the new completion time for the project, given this information?
5. The manager wants to reduce the project time by two weeks. How can this be achieved? What are the implications? (Answer this question conceptually.)