SUBDOMAIN 309.3 - QUANTITATIVE ANALYSIS
Competency 309.3.2: PERT/CPM Techniques - The graduate correctly applies
PERT/CPM techniques to project management tasks.
Objectives:
309.3.2-01: Determine the critical path identified by a given PERT/CPM analysis.
309.3.2-02: Utilize PERT analysis to determine the probability that a given project will
meet a specified deadline for completion.
309.3.2-03: Determine slack time for a given project activity.
309.3.2-04: Determine scheduled start time for a given project activity.
309.3.2-05: Determine scheduled completion time for a given project activity.
309.3.2-06: Use time-cost trade-offs to appropriately crash a project network.
Introduction:
This task requires candidates to prepare a program evaluation and review technique (PERT)
chart and apply critical path method (CPM) techniques.
Given:
Company A is installing a Web-based customer-feedback system to meet customer needs
for quick response when rolling out new products. A new product line is rolling out in 34
weeks and the customer-feedback system must be installed and running in time for the new
product launch.
Table 1.1 in the attached worksheet “PERT/CPM Tables” shows three estimates of the time it
will take Company A to complete each of the activities and project tasks in the customerfeedback
system project (optimistic, probable, pessimistic).
Company B is installing a similar feedback system to accompany a new product line and
originally had the same time line as Company A. Company B just announced that its new
product line is ahead of schedule and will be launched in 30 weeks instead of the initially
projected 34 weeks. Because the Web-based customer feedback system must be installed
and running in time for the revised date of the product launch, something must be done to
shorten implementation time required for the customer-feedback system project. Refer to
Table 1.2 in the attached worksheet “PERT/CPM Tables” that lists the expected time it will
take to complete the activities if shortened as much as possible (crash time), the cost to
complete the activity using normal resources (normal cost), and the cost of completing the
activity on an accelerated basis (crash cost).
Task:
A. Use the estimates for Company A in Table 1.1 to do each of the following:
1. Determine the expected completion time for each of the ten project activities,
showing all of your work.
a. Determine the variance for each project activity, showing all of your work.
2. Prepare a PERT chart (network diagram) to identify the critical path for project
completion.
Note: If you don’t have software to build a PERT chart, use text boxes with lines or
arrows in a word processing program.
3. Determine each of the following, showing all of your work or reasoning:
a. Expected duration of the entire project
b. Slack for project task A
c. Slack for project task H
d. The week project task F is scheduled to start
e. The week project task I is scheduled to finish
4. Determine the probability of completing this project in time for the product launch in
34 weeks, showing all of your work.
B. Assume that Company B has the same expected completion times for project activities
as Company A. Use your results from part A1 and the data in Table 1.2 to determine the
following, showing all of your work:
1. Maximum reduction in time
2. Crash cost per week
C. Identify the following by using your results from part B:
1. Least-costly activities to be crashed in order to complete the project within 30 weeks
2. Number of weeks each of the activities identified in part C1 should be crashed to meet
the deadline with the lowest possible increase in cost
3. Additional crashing cost of the activities identified in part C1.
D. If you choose to use outside sources, include all in-text citations and references in APA
format.
Note: Please save word-processing documents as *.rtf (Rich Text Format) files.
Note: For definitions of terms commonly used in the rubric, see the attached Rubric Terms.
Note: When using outside sources to support ideas and elements in a paper or project, the
submission MUST include APA formatted in-text citations with a corresponding reference list
for any direct quotes or paraphrasing. It is not necessary to list sources that were consulted
if they have not been quoted or paraphrased in the text of the paper or project.
Note: No more than a combined total of 30% of a submission can be directly quoted or
closely paraphrased from outside sources, even if cited correctly. For tips on using APA
style, please refer to the APA Handout Web link below.
PERT
/CPM
Analy
sis
Task
Detail
Table
1.1
Task
STAR
T
A
B
C
D
E
F
G
H
I
J
END
Precedin
g
Activity
Optimist
ic Time
to
Complet
e
(weeks)
START
START
A
B
C
B
F
D,E
G
H,I
2
5
3
10
4
8
4
8
3
2
Probable Pessimist Expecte
Time to
ic Time
d Time
Complet
to
to
e
Complete Complet Variance
(weeks)
(weeks) e (weeks) (weeks)
3
6
4
11
5
10
6
10
6
3
4
13
8
15
6
12
11
18
12
7
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