QUANTITATIVE ANALYSIS 4

 

 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 customer-feedback 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 your work. 

a. Determine the variance for each project activity, showing all 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 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 your work: 

1. Maximum reduction in time 

2. Crash cost per week 

C. Identify the following by using your results from part B: 

1. Activities to be crashed in order to complete the project within 30 weeks 

2. Number of weeks each of these activities 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. 

2

>Table 1.1

RT/

PM

nalysis

etail Table 1.1

Task

(weeks)

A START 2

START

C A 3 4

D B

E C 4 5 6

B 8 10

F 4 6 11

8 10

G 3 6 12

2 3

P

E C A
Task D
Preceding Activity Optimistic Time to Complete
(weeks)
Probable Time to Complete
(weeks)
Pessimistic Time to Complete
(weeks)
Expected Time to Complete Variance
(weeks)
START
3 4
B 5 6 13
8
10 11 15
F 12
G
H D,E 18
I
J H,I 7
END

Table 1.2

Task Expected Time to Complete

START

A 2

B 5

C 3

D 7

E 3

F 6

$ 24,000

G 5

$ 28,000

H 8

I

J 3

$ 36,000

END

PERT/CPM Analysis
Task Detail Table 1.2
Normal Cost Crash
Cost
Maximum Reduction in Time Crash Cost per week
Normal (weeks) Crash
(weeks)
$ 8,400 $ 11,200
$ 28,000 $ 40,000
$ 18,000 $ 24,000
$ 36,800 $ 44,800
$ 14,000 $ 16,800
$ 20,000
$ 18,200
$ 44,000 $ 64,000
4.5 $ 26,000 $ 36,000
$ 21,000

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    QAT1 – 309.3.2-01-06

    Levels

    Criteria

    Unacceptable Needs
    Revision

    Meets
    Standard

    Exemplary Score/Level

    Articulation of
    Response (clarity,
    organization, word
    usage, ease of
    understandability)

    There is no
    evidence of
    response to the
    prompts.

    The articulation
    of the response
    is weak.

    The articulation
    of the response
    is adequate.

    The articulation of
    the response is
    skillful.

    Accuracy of Mechanics
    (grammar,
    punctuation, spelling)

    The work includes
    several major errors
    that disrupt the
    meaning or flow of
    the response.

    The work
    includes a few
    major errors
    and/or many
    minor errors that
    interfere with the
    clarity of the
    response.

    The work
    includes a few
    minor errors but
    no readily
    detectable major
    errors.

    The work includes
    no readily
    detectable major
    or minor errors.

    A1. Expected
    Completion Time

    The candidate
    correctly determines
    the expected
    completion time,
    showing all work,
    for 0-7 project
    activities.

    The candidate
    correctly
    determines the
    expected
    completion time,
    showing all work,
    for 8-9 project
    activities.

    Not applicable. The candidate
    correctly
    determines the
    expected
    completion time,
    showing all work,
    for 10 project
    activities.

    A1a. Variance The candidate
    correctly determines
    the variance,
    showing all work,
    for 0-7 project
    activities.

    The candidate
    correctly
    determines the
    variance,
    showing all work,
    for 8-9 project
    activities.

    Not applicable. The candidate
    correctly
    determines the
    variance, showing
    all work, for 10
    project activities.

    A2. PERT Chart The candidate does
    not prepare a PERT
    chart that correctly
    identifies the critical
    path for project
    completion.

    Not applicable. Not applicable. The candidate
    prepares a PERT
    chart that
    correctly identifies
    the critical path
    for project
    completion.

    A3a. Expected
    Duration

    The candidate does
    not correctly
    determine the
    expected duration
    of the entire project
    or does not show all
    work or

    reasoning.

    The candidate
    does not
    correctly
    determine the
    expected
    duration of the
    entire project but
    shows all work or
    reasoning.

    Not applicable. The candidate
    correctly
    determines the
    expected duration
    of the entire
    project and shows
    all work or
    reasoning.

    A3b. Slack for Project
    Task A

    The candidate does
    not correctly
    determine the slack
    for project task A or
    does not show all
    work or reasoning.

    The candidate
    does not
    correctly
    determine the
    slack for project
    task A but shows
    all work or

    Not applicable. The candidate
    correctly
    determines the
    slack for project
    task A and shows
    all work or
    reasoning.

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    reasoning.

    A3c. Slack for Project
    Task H

    The candidate does
    not correctly
    determine the slack
    for project task H or
    does not show all
    work or reasoning.

    The candidate
    does not
    correctly
    determine the
    slack for project
    task H but shows
    all work or
    reasoning.

    Not applicable. The candidate
    correctly
    determines the
    slack for project
    task H and shows
    all work or
    reasoning.

    A3d. Scheduled Start
    for Project Task F

    The candidate does
    not correctly
    determine the week
    project task F is
    scheduled to start
    or does not show all
    work or reasoning.

    The candidate
    does not
    correctly
    determine the
    week project
    task F is
    scheduled to
    start but shows
    all work or
    reasoning.

    Not applicable. The candidate
    correctly
    determines the
    week project task
    F is scheduled to
    start and shows
    all work or
    reasoning.

    A3e. Scheduled Finish
    for Project Task I

    The candidate does
    not correctly
    determine the week
    project task I is
    scheduled to finish
    or does not show all
    work or reasoning.

    The candidate
    does not
    correctly
    determine the
    week project
    task I is
    scheduled to
    finish but shows
    all work or
    reasoning.

    Not applicable. The candidate
    correctly
    determines the
    week project task
    I is scheduled to
    finish and shows
    all work or
    reasoning.

    A4. Probability of
    Completing on Time

    The candidate does
    not correctly
    determine the
    probability of
    completing this
    project in time for
    the product launch
    in 34 weeks or does
    not show all work.

    The candidate
    does not
    correctly
    determine the
    probability of
    completing this
    project in time
    for the product
    launch in 34
    weeks but shows
    all work.

    Not applicable. The candidate
    correctly
    determines the
    probability of
    completing this
    project in time for
    the product launch
    in 34 weeks and
    shows all work.

    B1. Maximum Time
    Reduction

    The candidate does
    not correctly
    determine the
    maximum reduction
    in time or does not
    show all work.

    The candidate
    does not
    correctly
    determine the
    maximum
    reduction in time
    but shows all
    work.

    Not applicable. The candidate
    correctly
    determines the
    maximum
    reduction in time
    and shows all
    work.

    B2. Crash Cost Per
    Week

    The candidate does
    not correctly
    determine the crash
    cost per week or
    does not show all
    work.

    The candidate
    does not
    correctly
    determine the
    crash cost per
    week but shows
    all work.

    Not applicable. The candidate
    correctly
    determines the
    crash cost per
    week and shows
    all work.

    C1. Activities to Be
    Crashed

    The candidate does
    not correctly
    identify activities to
    be crashed in order
    to complete the
    project within 30
    weeks.

    Not applicable. Not applicable. The candidate
    correctly identifies
    activities to be
    crashed in order
    to complete the
    project within 30
    weeks.

    C2. Number of Weeks The candidate does Not applicable. Not applicable. The candidate

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    to Crash not correctly
    identify the number
    of weeks identified
    activities from part
    C1 should be
    crashed to meet the
    deadline with the
    lowest possible
    increase in cost.

    correctly identifies
    the number of
    weeks identified
    activities from
    part C1 should be
    crashed to meet
    the deadline with
    the lowest
    possible increase
    in cost.

    C3. Additional
    Crashing Cost

    The candidate does
    not correctly
    identify the
    additional crashing
    cost of the activities
    identified in part C1.

    Not applicable. Not applicable. The candidate
    correctly identifies
    the additional
    crashing cost of
    the activities
    identified in part
    C1.

    D. Sources If the candidate
    uses sources, the
    candidate does not
    provide in-text
    citations and/or
    references for each
    source used.

    If the candidate
    uses sources, the
    candidate
    provides
    appropriate in-
    text citations
    and/or
    references with
    major deviations
    from APA style.

    If the candidate
    uses sources, the
    candidate
    provides
    appropriate in-
    text citations
    and/or
    references with
    minor deviations
    from APA style.

    If the candidate
    uses sources, the
    candidate
    provides
    appropriate in-
    text citations
    and/or references
    with no readily
    detectable
    deviations from
    APA style, OR the
    candidate does
    not use sources.

    Overall Holistic Unacceptable Needs Revision Meets Standard Exemplary

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