At a local university, the Student Commission on Programming and Entertainment (SCOPE) is preparing to host its first rock concert of the school year. To successfully produce this rock concert, SCOPE has listed the requisite activities and related information in the following table (duration estimates measured in days).

		Immediate		Most
Activity	Predecessor(s)	Optimistic	Probable	Pessimistic
A:	Negotiate contract with	-	10	11	15
	selected musicians
B:	Reserve site	-	7	9	11
C:	Manage travel logistics	A	5	7	12
	for music group
D:	Screen & hire	B	3	4	5
	security personnel
E:	Arrange advertising	C	6	6	6
	& ticketing
F:	Hire parking staff	A, D	6	8	10
G:	Arrange concession sales	E	3	9	12

1. Which project network is correct?

(i)		(ii)
(iii)		(iv)

2. Compute the expected duration and variance of each activity. If required, round your answer to two decimals. If your answer is zero, enter 0.

Activity		Expected Time		Variance
A		fill in the blank 2		fill in the blank 3
B		fill in the blank 4		fill in the blank 5
C		fill in the blank 6		fill in the blank 7
D		fill in the blank 8		fill in the blank 9
E		fill in the blank 10		fill in the blank 11
F		fill in the blank 12		fill in the blank 13
G		fill in the blank 14		fill in the blank 15

Critical

Activity

ES

LS

EF

LF

Slack

Activity

A

fill in the blank 16

fill in the blank 17

fill in the blank 18

fill in the blank 19

fill in the blank 20

YesNoYes

B

fill in the blank 22

fill in the blank 23

fill in the blank 24

fill in the blank 25

fill in the blank 26

YesNoNo

C

fill in the blank 28

fill in the blank 29

fill in the blank 30

fill in the blank 31

fill in the blank 32

YesNoYes

D

fill in the blank 34

fill in the blank 35

fill in the blank 36

fill in the blank 37

fill in the blank 38

YesNoNo

E

fill in the blank 40

fill in the blank 41

fill in the blank 42

fill in the blank 43

fill in the blank 44

YesNoYes

F

fill in the blank 46

fill in the blank 47

fill in the blank 48

fill in the blank 49

fill in the blank 50

YesNoNo

G

fill in the blank 52

fill in the blank 53

fill in the blank 54

fill in the blank 55

fill in the blank 56

YesNoYes

2. Determine the critical path in the project network.
3. What is the expected duration and variance of the critical path? If required, round your answer to two decimals. Expected duration = fill in the blank 59 Variance = fill in the blank 60
4. What is the likelihood that the project will be completed within 30 days? If required, round your answer to four decimals. Note: Use Appendix B to identify the probability. Likelihood = fill in the blank 61
5. If activity B is delayed by six days beyond its early start time, how does this affect the expected project duration? If required, round your answer to one decimal place. A delay of 6 days to activity Baffect the time to complete this project because activity B has a slack of fill in the blank 63 days.

Using all paths through the project network, estimate the probability that the project will be completed within 30 days. Compare your answer to the answer in part e and explain. Round your answers for values to 2 decimal places and for probability values to 4 decimal places.

For path B-D-F:

fill in the blank 64

Cumulative probability fill in the blank 65

For path A-F:

fill in the blank 66

Cumulative probability fill in the blank 67