Question: 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

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 - 7 9 14
selected musicians
B: Reserve site - 6 7 8
C: Manage travel logistics A 4 5 9
for music group
D: Screen & hire B 2 2 2
security personnel
E: Arrange advertising C 1 5 6
& ticketing
F: Hire parking staff A, D 3 6 9
G: Arrange concession sales E 2 7 9

  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.
    Activity Expected Time Variance
    A
    B
    C
    D
    E
    F
    G
    Critical
    Activity ES LS EF LF Slack Activity
    A
    B
    C
    D
    E
    F
    G
  3. Determine the critical path in the project network.
  4. What is the expected duration and variance of the critical path? If required, round your answer to two decimals. Expected duration = Variance =
  5. 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 =
  6. 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 B __ affect the time to complete this project because activity B has a slack of __ days.

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