t 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 12   selected musicians         B: Reserve site - 8 10 12 C: Manage travel logistics A 2 7 9   for music group         D: Screen & hire B 4 5 6   security personnel         E: Arrange advertising C 7 7 7   & ticketing         F: Hire parking staff A, D 8 9 16 G: Arrange concession sales E 6 7 11

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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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 12
  selected musicians        
B: Reserve site - 8 10 12
C: Manage travel logistics A 2 7 9
  for music group        
D: Screen & hire B 4 5 6
  security personnel        
E: Arrange advertising C 7 7 7
  & ticketing        
F: Hire parking staff A, D 8 9 16
G: Arrange concession sales E 6 7 11

 

 

 

  1. Which project network is correct?
    IMG is attached


     

  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    
    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    
    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    
    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    
    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    
    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    
    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    
  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 = fill in the blank 59

    Variance = fill in the blank 60

  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 = fill in the blank 61

  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 fill in the blank 63 days.
  7. 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

    fill in the blank 68

 

 

(i)
(ii)
A
C
G
C
Start
Finish
Start
В
Finish
D
F
D
(iii)
(iv)
A.
C
F
A
C
E
G
Start
Finish
Start
Finish
E
F
E.
Transcribed Image Text:(i) (ii) A C G C Start Finish Start В Finish D F D (iii) (iv) A. C F A C E G Start Finish Start Finish E F E.
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