**PLEASE HELP WITH QUESTION 2!!!***

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	-	2	5	14
B	-	8	11	14
C	A	5	7	9
D	A	6	9	12
E	D, B	1	3	5

Question 1

(a) Draw a network to represent the above project. (Make sure you indicate activities and their durations and don't forget the ARROWS!)

(b) 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.)

(c) Which activities currently can be delayed without delaying the entire project and what are their corresponding slack times?

(d) The customer wants the project to be completed in 15 weeks. What is the probability that the project will be completed in 15 weeks?

(e) The project manager would like to complete the project at least in 21 weeks. What is the probability that the project will be completed in 21 weeks?

QUESTION 2

(a) 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?

(b) The manager wants to reduce the project time by two weeks. How can this be achieved? What are the implications? (Answer this question conceptually.)