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Chapter 14
Project Planning and Acquisition
DISCUSSION QUESTIONS
14-1. Q: Which of the following would be considered a project: (a) construction of a hydroelectric
dam; (b) operation of a nuclear reactor; (c) development of an engine for the B-2 bomber
through the first production prototype; (d) a production order for an additional twenty F-15
aircraft?
14-2. Q: Often the most difficult part of any project is defining the project. Why is this the case?
14-3. Q: In your words, what are the key differences between agile and traditional project
management approaches?
14-4. Q: Discuss how the management functions of planning, organizing, leading, and controlling
relate to the project process.
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No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
PROBLEMS
14-1. Q: Prepare (i) a milestone schedule and (ii) a work breakdown structure for one of the
following: (a) construction of a steel and concrete highway bridge, or (b) movement of the
printing department of a daily newspaper from one building to another (assuming two
identical presses, with one press continuously available for use).
A: Student answers will vary with interest and expertise. See the response to the next question for
14-2. Q: Establish tasks, times, and precedence relationships for the project selected in question
14-4, and draw (a) a bar chart and (b) a network diagram schedule for it.
A: Regardless of whether the bridge or the printing press project is chosen in problem 14-1
each student will create a different set of milestones and tasks, so no “book solution” is
14-3. Q: For the project outlined in the following table, prepare (a) a bar chart, (b) an AOA
network diagram, and (c) a AON network diagram. (d) What and how long is the critical
path?
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No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
b)
c)
14-4. Q: For the project outlined in the following table, prepare (a) a bar chart, (b) an arrow
network diagram, and (e) a circle (AON) network diagram. (d) What and how long is the
critical path?
A: (a) See the bar chart at the left in answer 14-8(a) (Early Start).
14-5. Q: For the project in Problem 14-4, (a) provide a worker-level profile, assuming that all
tasks begin as early as possible; (b) repeat the profile, assuming that no more than nine
people are available in any week and the manning level for a task cannot change; and (c)
identify the project duration in each case.
A: a) uses a maximum of 10 resources, 13 week duration as shown below:
b) Limiting to 9 resources, duration grows to 17 weeks
Week Task(s) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1 A,B,C
2 A,B,C
3 A,B,C
4 A,B,C
5 A,B,C
6 A
7 D,E
8 D,E
9 D,E
10 E
11 E
12 E
13 F
Resources
Week Task(s) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1 A,B
2 A,B
3 A,B
4 A,B
5 A,B
6 A,C
7 C,D
8 C,D
9 C,D
10 C,E
11 E
17 F
Resources
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No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
14-6. Q: Tasks X, Y, and Z must be completed in series to complete a project. The three time
estimates (a, m, and b) for each task in days are: X: 30, 45, and 66 days; Y: 24, 42, and 60
days; and Z: 26, 50, and 68 days. For each task calculate (a) the expected time Te and (b) the
standard deviation 0. What is the (c) expected time Te and (d) the standard deviation 0T for
the complete project?
A: Calculation is as follows:
14-7. Q: If a project has an expected time of completion Te of 45 weeks with a standard deviation
of 7 weeks, what is the probability of completing it within one year (52 weeks)? Within 38
weeks?
A: The probability of completing the project in within Te weeks is exactly 50%. The
14-8. Q: Tasks A, B, and C must be completed in series to complete a project. The three time
estimates (a, m, and b) for each task in weeks are: A: 8, 11, and 14 weeks; B: 7, 10, and 19
weeks; and C: 10, 19, and 22 weeks. For each task calculate (a) the expected time Te and (b)
the standard deviation . What is the (c) expected time Te and (d) the standard deviation a T
for the complete project? What is the probability of completing the project (e) in 40 weeks?
(f) In 46 weeks?
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No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
14-9: Q: The text shows how to reduce to duration of the project shown in Figure 14-12 from 19 to
18 to 17 weeks at the lowest cost. Continue this process, showing the most economical way
to reduce project duration from 17 weeks, week by week, to the minimum possible duration.
What is the minimum project total cost at this minimum duration?
A: Following are the optimum steps (of which 1 and 2 are in the text):
14-10. Q: For the project outlined on the following table, (a) draw a network diagram (arrow or
AON, as preferred), and (b) identify the critical path and duration. (c) Identify the task(s) you
would crash and the incremental cost to reduce project duration by (i) one week; (ii) a second
week; (iii) a third week.
(b) Above the normal critical path (ACE, or 1-3-4-5) is 12 weeks; the other two paths (BCE,
or 1-2-3-4-5; BDE, or 1-2-4-5) are 11 weeks.
(c-i) Costs to crash each of the tasks are shown ($/ week) in the right-hand column of the
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No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
1411
Q: The following project carries a penalty cost of $200/day ($1400/week) for any delay in
completion beyond 26 weeks. Any task can be accelerated by up to three weeks at a cost of
$1000 per week reduction. Draw an arrow diagram, identify the critical path and duration,
and determine which task(s), if any, you will crash, and by how much, to minimize project
cost.
A: As illustrated in the bar chart and arrow diagram below, there are three paths: VWX (1-2-
3-4) at 29 weeks, Z (1-4) at 30 weeks, and critical path VY (1-2-4) at 31 weeks. Either V or Y
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Q: A project manager observes that they had budgeted expenditure of $450,000 by a specific
date and had only spent $425,000 by then. What should she conclude?
A: The project manager knows the Budgeted Cost of Work Scheduled (BCWS) is $450,000
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1413
Q: Consider the following network for a small project (all times are in days)
a) Draw a AOA network diagram representing the project
b) Use PERT to determine the critical path and associated timelabel your answers
c) The customer wants the project delivered in 20 days. What is the probability of meeting the
customer’s expectation? Use Figure 14-3 to develop your estimate.
d) If activity D had an expected completion time of 15 days, does this impact the expected project
completion time? If so, how? (3)
A: a)
b) Using the calculations below and applying the forward and backward pass, we find the
critical path to be A-C-E-H = 19
c) Z = 2019
Task Expected Time StDev
A 2 0.33
B 5 0.33
C 2 0.33
D 9 1.33
E 5 0.33
F10 1.33
G 3 0.33
H10 1.33