Answer To: Project Management and Statistical Process Control Homework Assignment Project Management PERT...
David answered on Dec 29 2021
1
Project Management and Statistical Process Control Homework Assignment
Project Management
PERT Network Diagram 1 illustrates the ten interrelated activities that comprise a certain
project.
PERT Network Diagram 1
Activity t
A B C D
Start E F G Finish
H I J
Key
The information presented in Table 1 represents the optimistic activity time (a), most probable
activity time (m), and pessimistic activity time (b) in weeks for each activity associated with the
project.
Table 1
Activity Optimistic
(a)
Most
Probable
(m)
Pessimistic
(b)
A 2 3 4
B 1 3 5
C 2 5 8
D 1 2 3
E 2 4 6
F 1 3 5
G 2 4 6
H 1 3 5
I 2 4 6
J 1 4 7
2
PERT Network Diagram 2
Activity t
A 3 B 3 C 5 D 2
Start E 4 F 3 G 4 Finish
H 3 I 4 J 4
Key
1. Using the information provided in Table 1, calculate the expected activity time (t) in weeks
for each activity and then enter this information in the appropriate data field provided for
each activity in PERT Network Diagram 2 in order to complete this diagram. Which of the
following sequences accurately reflects the expected activity time in weeks for the ten
activities arranged in alphabetical order by activity beginning with activity A and ending
with activity J?
o 3, 3, 4, 2, 4, 3, 4, 3, 4, 4
o 3, 3, 5, 2, 4, 3, 4, 3, 4, 4
o 3, 3, 5, 2, 4, 3, 5, 3, 4, 4
o 3, 3, 4, 2, 4, 3, 4, 3, 5, 4
2. Using the information provided in Table 1, calculate the variance for the estimated activity
time for each activity in order to identify which of the following sequences accurately
reflects the variance for the ten activities arranged in alphabetical order by activity beginning
with activity A and ending with activity J.
o 0.11, 1.00, 1.00, 0.11, 0.44, 0.44, 0.44, 0.44, 0.44, 1.00
o 0.11, 0.44, 1.00, 0.11, 0.44, 0.11, 0.44, 1.00, 0.44, 1.00
o 0.11, 0.44, 1.00, 0.11, 0.44, 0.44, 0.44, 0.44, 0.44, 1.00
o 0.11, 0.44, 1.00, 1.00, 0.44, 0.44, 0.11, 0.44, 0.44, 1.00
3. Using the information in completed PERT Network Diagram 2, calculate the overall
estimated activity time in weeks for each of the following paths through the network in order
to determine which of the following paths constitutes the critical path.
o ABCDG
3
o ABEFJG
o ABCFJG
o HIJG
4. Using the information provided in Table 1, calculate the standard deviation for the project.
o 1.86 weeks
o 2.05 weeks
o 1.69 weeks
o 1.94 weeks
5. Using the information provided in Table 1 and completed Project Network Diagram 2,
calculate the probability of the project critical path activities being completed in less than or
equal to 24 weeks.
o 0.63
o 0.78
o 0.86
o 0.90
The information presented in Table 2 represents the calculated Earliest Start, Earliest Finish,
Latest Start and Latest Finish times for each activity.
Table 2
Activity Earliest
Start
Earliest
Finish
Latest
Start
Latest
Finish
A 0 3 0 3
B 3 6 3 6
C 6 11 6 11
D 11 13 16 18
E 6 10 7 11
F 11 14 11 14
G 18 22 18 22
H 0 3 7 10
I 3 7 10 14
J 14 18 14 18
6. Using the information provided in Table 2, calculate the slack time in weeks for each activity
in order to identify which of the following sequences accurately represents the slack time for
each activity arranged in alphabetical order by activity beginning with activity A and ending
with...