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# Solve: Project Management Problems

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1.) Given the following network project:

Activity Estimated Time (mo.) Immediate Predecessor
A 10 -
B 12 -
C 15 -
D 18 A
E 7 C
F 9 B,C

a. Develop a network diagram.
b. How long will it take to complete the project?
c. Which activities are on the critical path?
d. How much stack is in each activity?
e. What is the impact on the critical time if the time for activity A is increased to 14 months?

2) Given the following network project:

Activity Estimated Time (days) Immediate Predecessor
A 2 -
B 3 -
C 4 -
D 2 A,B
E 1 C.D
F 3 A
G 5 F
H 2 C
I 4 E,G,H
J 7 I
K 3 J

a. Develop a network diagram.
b. How long will it take to complete the project?
c. Which activities are on the critical path?
d. How much stack is in each activity.
e. What is the impact on the critical time if the time for activity B is reduced by two days?
5. Given the following network project with mu

3) Given the following network project with multiple time estimates in weeks:

Activity Optimistic Modal Pessimistic IP
A 10 14 16 -
B 12 12 12 -
C 6 10 12 A
D 5 8 9 B
E 10 12 14 C,D

a. What is the expected project completion time?
b. Identify the critical path(s).
c. Describe each of the task distributions as either skewed right, skewed left, normal or constant.
d. What is the probability that the project will exceed 32 weeks?
e. What is the probability that the project can be completed within 34 weeks?