Usemame: Bridgette Newby Book Operations Management, 4th Edition. No part of any chapter or book may be reproduced or
transmifted in any form by any means without the prior written permission for reprints and excerpts from the publisher of the
book or chapter. Redistribution or other use that violates the fair use privilege under U.S. copyright laws (see 17 USC107) or
that othenrvise violates these Terms of Service is strictly prohibited. Violators will be prosecuted to the full extent of U.S. Federal
and Massachusetts laws.
618 . CHAPTER 16 PROJECT MANAGEMENT
Problems
Use the following project information for Problems I and 2.
Activity Time
Activity (weeks)
Immediate
Predecessor{s}
ABCDE FG
34 2 54 3 2
none
ABBCD
E,F
1. Construct a nehvork diagram usingAON notation.
2. Using the network diagram constructed in Problem 1,
(a) Calculate the completion time for the project.
(b) Determine which activities are included on the critical
path.
3. Jack’s Floating Banana Party Company is planning to add a
new partF vessel for the upcoming season. Jack has identified several activities that must be finished before the start of the season.
Using the following information,
&*ttv*-tv T{n”r* trixwied{*t*
,&etivity {w**{qs} F}”edee*sssr(s}
none
none
AB
C,D
D
(a) Draw the network diagram for this prorect.
(b) Identi& the critical path.
(c) Calculate the expected project length.
Use the following projea information for Problems 4 through 8.
Most
Optimistic likety Pessimistic
trme lrme lrme
Est?rnate [rt$matcs fisttrx*tes {r*mndi*t*
Aetivity iw*eks) {rv*efqr} {weekr} Fred*ress*r{*}
A369none
BCDE FGHII
3 4 4 5 3 3 5 5 a
5 7 8
10
466 8 3
t2
t0
16
5 8
l0
ll
3
AABC
DE
DE
FG
H,I
4. Using the information given, construct a network diagram
using AON notation.
5. Using the information given, calculate the expected
for each of the project activities.
6. Using the information given, calculate the variance for each
of the project activities.
7. Using yow results from Problems 4 and 5,
(a) Calculate the completion time for this project.
(b) Identify the activities included on the critical path of this
project.
8. Using your results from Problem 6,
(a) Calculate the probability that the project will be completed in 38 weeks.
(b) Calculate the probability that the project will be completed in 42 weeks.
Use the informatian prwided in Table 16-14 and the network diagram in Figure 16-20 for the next four problems.
time
ABCDE F
6 5 3 3 6 9
A B C Dtr6 H
4 1 5
7^
5 6 4 3
800
900
7,?50
8.00
1.500
2,000
600
900
1,e00
1;000
2,?50
, 800
2r@
3,000
900
EO0
400
10!
,,500
,,’p
: 5oo
1,00g
,’ 300
0
3 2 3 2 4 5 3 3
1 1 2 0 L 1 1 0
I
Username: Bridgette Newby Book Operations Management, 4th Edition. No part of any chapter or book may be reproduced or
transmitted in any form by any means without the prior written permission for reprints and excerpts ftom the publisher of the
book or chapter. Redistribution or other use that violates the fair use privilege under U.S. copyright laws (see 17 USC107) or
that othenadse violates these Terms of Service is strictly prohibited. Molators will be prosecuted to the full extent of U.S. Federal
and Massachusetts laws.
AON network diagram
r B(3)j————— 1 E{s)j
f”” /
//
//
s,A(a)r——>r C(S).i ( |
1G(4L——–‘x H(3), |
i”‘ | ”” |
\/
/
rl-e-];-”ljl)
9. Using the information given,
(a) Calculate the completion time of the prorect.
(b) Identify the activities on the critical path.
10. Using the information given and the prorect completion
time calculated in Problem 9(a), reduce the completion time of
the project by 3 weeks in the most economical way.
11. Using the information given and the project completion
time calculated in Problem 9(a), reduce the completion time of
the project by 5 weeks in the most economical way.
12. Using the information given and the prorect completion
time calculated in Problem 9(a), calculate the minimum time for
completing the project possible.
Use Figure 16-21 and the following project data for the next
two questions.
13. Using the information given,
(a) Calculate *re expected time for each of the project activities.
(b) Calculate the variance for each of the project activities.
(c) Evaluate the connected paths through the diagram to detefmine the expected project completion time.
PR0BLEMS * 619
(b) Calculate the probability of completing the project in 40
weeks.
15. The accounting department at Northeast University is offering a combined five-year B.S./M.S. in accounting. The senior
accounting professor has identified the project activities and any
precedence relationships, as shown in Table 16-15. Three time estimates for eac.h activity are included.
(a) Develop a network diagram for this project using AON
notation.
(b) Calculate the enpected time for each of the project activities.
(c) Identify the critical path for the project.
(d) Calculate the expected prorect completion time.
16. The dean of the business school wants to start offering this
program starting 32 weeks &om now. Using the information provided in Problem 15,
(a) Calculate the probability of the program starting on time.
(b) Ifthe dean needs a 95 percent probability ofbeing done
on time, how long can the expected project duration be?
Use the following information for koblems 17 through 19.
Normal | [rash | ||
kcnred”iate Yisx* &ermal Timte e rasli Artivity Predeeessor{s} {wee$*s} ec}st {vreeks} flmst |
|||
l0 | none no’ne A,B |
$16,000 6,000 12,000 |
$20,000 9,000 24,000 |
7,000 | 10,000 | ||
28,000 | 34,000 | ||
4,500 7,2O0 5,000 |
4,500 9,000 5,000 |
||
15,000 | 18,000 | ||
7,000 | 7,000 | ||
10,000 24,000 |
11,000 24,N0 |
ABCDE FGHIIKL
46 7
L4
34) 5a 5
t0
8 3 3 52 3 3 24 240
AB
C,DE
F F F
H’I
1K
Spt$m*stir
Tiw*
&ctiv{ty {we*kx}
M*x* [ike{y
Timx | Sessimistir |
{w*eks} T$m* {w*nks} | |
t2 l6 |
r0 t0 |
ABCDE FGH
84 4646 4 3
6
10
t2
9
t2
3
5 8 7 7 8 3
t B i——–i
I*.””‘
Network diagram
‘t, A ,*
—
14. Using the information given and expected project completion time from Problem 13(c),
(a) Calculate the probability of completing the project in 36
I weeks.
It
, .3.“-‘ – -.”————–* .., I “‘
Usemame: Bridgette Newby Book Operations Management, 4th Edition. No part of any chapter or book may be reproduced or
transmitted in any form by any means without the prior written permission for reprints and excerpts from the publisher of the
book or chapter. Redistribution or other use that violates the fair use privilege under U.S. copyright laws (see 17 USC107) or
that otherwise violates these Terms of Service is strictly prohibited, Violators will be prosecuted to the full extent of U.S. Federal
and Massachusefts laws.
620 . CHAPTER 16 PROJECT MANAGEMENT
A B c D E F G HI J K L
Design general curricutum reguirements
Develop program brochure
Identify prospective students,
Develop advertising cam paign
Design specific curricutum content
Send brochure and student apptication
Evatuate apptications
Accept students, notify students
Schedute, rooms for ctasses
Designate professors to teach courses
0rder and receive texts
none
A
n0ne
B,C
A D F 6 H H J K
4 2 3 4I2 2 1 1 1 3 6
I3 6 7
16
3 4 2 1 2 5 8
76
6I
10
2fi
4 6 3 7 3 7
77
17. Draw the network diagram. Determine the normal time it
will take to complete this project. Determine the critical path for
the project. Calculate the cost of completing the project in normal time.
18. Determine the absolute minimum time it will take to
complete the project if the project is crashed as far as possible. Calculate the cost associated with this approach to the
project.
19. If the company wants to complete the project in 40 weeks,
which activities should be crashed? Calculate the additional cost
incurred to complete the project in 40 weeks.
;:tai.,, : ,,:’.t.,, ::’:’ : .’. .: ”,’, . . . -,:
Jeannette, the senior administrative assistant, has just learned
that she is in charge of the upcoming move of the research office
at Southwest University^ She has coordinated several such moves
before and immediately begins organizing her thoughk. Determining what needs to be done, when it needs to be done, and
who needs to do it are critical to a successful move. From past
moves, |eannette knows the first step is having the management
team allocate the offices available to the different departments.
She knows that each department manager fights for the best office space. Because ofthe politics, ]eannette expects this activity
to take three weels.
After the management team finalizes departmental allocations, each department maflager allocates office space to individuals within the department. This is also quite political and
typically takes two weeks. Individuals often take the office space
allocations personally, and each manager needs time to smooth
any ruffled feathers. The allocation decisions are returned to
]eannette so that she can develop an overall layout for the move.
She normally does this in about four weeks. During the first
week of this phase, |eannette sends each individual a printout of
the floor space they will have and requests that they determine
how the furniture is to be arranged. Individuals inform her of
any additional or replacement office furniture needs. They indicate where phone jacks and computer hookups should be. Each
individual request$ the packing supplies needed to pack up their
office items. These requests are returned in three weeks,
When Jeannette receives the iadividual requests, she consolidates the requests to form lists ofpacking supplies and firrniture.
She orders the supplies from the university-approved supplier,
and the supplies arrive in two weeks. She chooses among three
approved office furniture suppliers and selects and orders the
office furniture, which is scheduled to arrive in six weeks. When