A project has four activities (A, B, C, and D) that must be performed sequentially. The probability distributions for the time required to complete each of the activities are as follows:

Activity		Activity Time (weeks)		Probability
A		4		0.28
		5		0.39
		6		0.22
		7		0.11
B		8		0.20
		10		0.53
		12		0.27
C		12		0.09
		14		0.23
		16		0.40
		18		0.24
		20		0.04
D		10		0.64
		12		0.36

A. Provide the base-case, worst-case, and best-case calculations for the time to complete the project.

Activity	Base case	Worst case	Best case
A	fill in the blank 1 weeks	fill in the blank 2 weeks	fill in the blank 3 weeks
B	fill in the blank 4 weeks	fill in the blank 5 weeks	fill in the blank 6 weeks
C	fill in the blank 7 weeks	fill in the blank 8 weeks	fill in the blank 9 weeks
D	fill in the blank 10 weeks	fill in the blank 11 weeks	fill in the blank 12 weeks
Total	fill in the blank 13 weeks	fill in the blank 14 weeks	fill in the blank 15 weeksB

B. Use the random numbers 0.8644, 0.1417, 0.101 and 0.2516 to simulate the completion time of the project in weeks.

Activity	Random Number	Completion Time
A	0.8644	fill in the blank 16 weeks
B	0.1417	fill in the blank 17 weeks
C	0.101	fill in the blank 18 weeks
D	0.2516	fill in the blank 19 weeks
Total		fill in the blank 20 weeks

C. Discuss how simulation could be used to estimate the probability that the project can be completed in weeks or less. Simulation provides a distribution of project completion times. The (mean/percentage) of times weeks and under can be used to estimate the probability that the project will be completed within weeks.