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1. Embassy Club Condominium, located on the west coast of Florida, is undertaking a summer renovation of its main building. The project is scheduled to begin May 1, and a September 1 (17-week) completion
date is desired. The condominium manager identified the following renovation activities and their estimated times:
Immediate
Activity Predecessor Time
A --- 3
B --- 1
C --- 2
D A, B, C 4
E C, D 5
F A 3
G D, F 6
H E 4
a. Draw a project network.
b. What are the critical activities?
c. What activity has the most slack time?
d. Will the project be completed by September 1?
2. 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 --- 8 10 15
with selected
musicians
B: Reserve site --- 7 8 9
C: Manage travel A 5 6 10
logistics for musicalgroup
D: Screen & hire B 3 3 3
security personnel
E: Arrange advertising B, C 1 5 9
& ticketing
F: Hire parking staff D 4 7 10
G: Arrange concession E 3 8 10
Sales
a. Draw the project network.
b. Compute the expected duration and variance of each activity.
c. Determine the critical path in the project network.
d. What is the expected duration and variance of the critical path?
e. What is the likelihood that the project will be completed within 30 days?
f. If activity B is delayed by six days beyond its early start time, how does this affect the expected project duration?
3. Doug Casey is in charge of planning and coordinating next spring’s sale management training program for his company. Doug listed the following activity information for this project:
Time (weeks)
Immediate
Activity Description Predecessor Optimistic Most Probable Pessimistic
A Plan topic --- 1.5 2.0 2.5
B Obtain speakers A 2.0 2.5 6.0
C List meeting --- 1.0 2.0 3.0
locations
D Select locations C 1.5 2.0 2.5
E Finalize speaker B, D 0.5 1.0 1.5
travel plans
F Make final check E 1.0 2.0 3.0
with speakers
G Prepare and mail B, D 3.0 3.5 7.0
Brochure
H Take reservations G 3.0 4.0 5.0
I Handle last minute F, H 1.5 2.0 2.5
details
a. Draw a project network.
b. Prepare an activity schedule.
c. What are the critical activities and what is the expected project completion time?
d. If Doug wants a 0.99 probability of completing the project on time, how far ahead of the scheduled meeting date should he begin working on the project?
