Question 1

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

(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?