14
6) Refer to the information above. Assume that that time required to complete each activity is as
follows.
Activity Time (Days)
A 3
B 4
C 5
D 3
E 2
F 1
G 4
H 3
I 2
J 5
a. Calculate the slack for each activity.
b. Calculate the earliest and latest start and finish times for each activity.
c. Determine the critical path.
d. Determine the length of the project.
Answer:
Use this information to answer the following questions.
Consider the following set of activities.
Immediate
Activity Predecessors
A –
B –
C A, B
D A, B
E C, D
F D
G E, F
H F
I F
J G, H
K H, I
L J, K
7) Using the data above, develop a network for this project.
16
8) Assume that that time required to complete each activity is as follows.
Activity Time (Days)
A 3
B 4
C 5
D 3
E 2
F 1
G 4
H 3
I 2
J 5
a. Calculate the slack for each activity.
b. Calculate the earliest and latest start and finish times for each activity.
c. Determine the critical path.
d. Determine the length of the project.
Use this information to answer the following questions.
A university needs to prepare a banquet for its graduating seniors. The following information describes
the relationships between the activities that need to be completed for this banquet.
Immediate
Activity Predecessors
A –
B –
C A, B
D C
E C
F D, E
G E
H F, G
9) Using the data above, develop a network for this banquet.
10) Refer to the information above. Assume that the catering manager was able to estimate the number
of hours needed to complete each activity as follows.
Activity Optimistic time Most Likely Time Pessimistic Time
A 2 3 5
B 4 6 7
C 3 4 5
D 2 3 5
E 1 2 3
F 5 7 11
G 6 8 9
H 4 6 7
a. Use PERT to identify the expected time and variance for each activity.
b. What is the critical path?
c. What is the expected time and variance of the critical path?
d. Determine the expected completion time of the project.
11) Refer to the information above. Assume that the catering manager was able to estimate the number
of hours needed to complete each activity as follows.
Activity Optimistic time Most Likely Time Pessimistic Time
A 2 3 5
B 4 6 7
C 3 4 5
D 2 3 5
E 1 2 3
F 5 7 11
G 6 8 9
H 4 6 7
Determine the probability that the project will be completed in
a. Less than 25 hours.
b. Greater than 25 hours.
c. Less than 27 hours.
d. Greater than 27 hours.
Answer:
Use this information to answer the following questions.
Consider the following set of activities that need to be completed by a chef to cook dinner for a party of
30 guests.
Immediate
Activity Predecessors
A –
B A
C A
D B, C
E C
F D, E
12) Using the data above, develop a network for this project.
13) Refer to the information above. Assume that the chef was able to estimate the number of hours
needed to complete each activity as follows.
Activity Optimistic time Most Likely Time Pessimistic Time
A 1 2 3
B 1 2 2
C 2 3 4
D 3 5 6
E 4 5 6
F 3 6 7
a. Use PERT to identify the expected time and variance for each activity.
b. What is the critical path?
c. What is the expected time and variance of the critical path?
d. Determine the expected completion time of the project.
14) Refer to the information above. Assume that the chef was able to estimate the number of hours
needed to complete each activity as follows.
Activity Optimistic time Most Likely Time Pessimistic Time
A 1 2 3
B 1 2 2
C 2 3 4
D 3 5 6
E 4 5 6
F 3 6 7
Determine the probability that the project will be completed in
a. Less than 14 hours.
b. Greater than 14 hours.
c. Less than 17 hours.
d. Greater than 17 hours.
15) Suppose that the amount of time it takes to process insurance claims is normally distributed with a
mean of 12 weeks and a variance of 9 weeks. What is the probability that the next claim will be
processed within
a. 10 weeks?
b. 11 weeks?
c. 12 weeks?
d. 23 weeks?
Answer:
23
16) Suppose that the amount of time it takes to process insurance claims is normally distributed with a
mean of 12 weeks and a variance of 9 weeks. Find the number of weeks which the insurance company
is
a. 99% sure the next claim will be completed by.
b. 95% sure the next claim will be completed by.
c. 90% sure the next claim will be completed by.
d. 80% sure the next claim will be completed by.
Answer:
25
26
17) A company is faced with a project of implementing a new ERP system. The information on activity
precedence, time, and cost is given below (time in weeks).
The company would like to determine which activities to crash and by how much in order to
complete the ERP implementation in 24 weeks. Using linear programming and Excel Solver, find
the best solution
Answer:
ERP Project