Ch03 Practice Problems
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BA 360 Operations Management – Practice Problems Chapter
3: Project Management Problem #3-1:
Rozales Manufacturing Co. is planning to install a new, flexible manufacturing system. The activities that must be performed, their immediate predecessors, and estimated activity times are shown below. Draw the project network and find the critical path computing early and late start days, early and late finish days, and activity slack. Estimated Immediate Activity Time Activity Description Predecessors (days)
A
Analyze current performance -- 3 B
Identify goals A 1 C
Conduct study of existing operation A 6 D
Define new system capabilities B 7 E
Study existing technologies -- 2 F
Determine specifications D 9 G
Conduct equipment analyses C, F 10 H
Identify implementation activities C 3 I
Determine organizational impacts H 4 J
Prepare report E, G, I 2 K
Establish audit procedure H 1 Problem #3-2:
A computer-system installation project consists of eight activities. The immediate predecessors and activity times in weeks are shown below. Immediate Activity Activity Predecessor Time
A
-- 3 B
-- 6 C
A 2 D
B, C 5 E
D 4 F
E 3 G
B, C 9 H
F, G 3 a.
Draw the network for this project. b.
What are the critical-path activities? c.
What is the project completion time? d.
Construct an early-start date Gantt chart. e.
As a project manager, where would you focus your attention given your analysis? Problem #3-3:
Page 1
BA 360 Operations Management – Practice Problems Chapter
3: Project Management Environment Recycling, Inc. must clean up a large automobile tire dump under a state environmental cleanup contract. The tasks, durations (weeks), costs, and predecessor relationships are as follows. Activit
y Predecesso
r(s) Normal
Time Crash Time Normal Cost Crash Cost A --- 5 4 $400 $750 B A 12 9 1000 2200 C A 7 6 800 1100 D C 6 5 600 1000 E B,D 8 6 1200 2200 F D 3 2 800 1000 G D 3 2 500 650 H E 4 3 400 600 I F,G,H 6 5 900 1300 a.
Draw the project network. b.
Identify the critical path(s). c.
What is the total project completion time and total cost? d.
What is the total project completion time and lowest cost solution if the state wants to complete the project 3 weeks early? Problem #3-4:
Two international banks are integrating two financial processing software systems as a result of their merger. Preliminary analysis and interviews with all parties involved resulted in the following project information. The “systems integration team” for this project plan to define and
manage this project on two levels. The network defined below is the aggregate view and within each activity is a more detailed view with sub-tasks and project networks defined. All times are in weeks. Normal Crash Normal Crash Activity Predecessor Time Time Cost Cost A
none 3 1 $1,000 $8,000 B
A 1 1 4,000 4,000 C
A 2 2 2,000 2,000 D
B,C 7 5 3,000 6,000 E
C 5 4 2,500 3,800 F
C 3 2 1,500 3,000 G
E 7 4 4,500 8,100 H
E, F 5 4 3,000 3,600 I
D, G, H 8 5 8,000 18,000 Page 2
BA 360 Operations Management – Practice Problems Chapter
3: Project Management a.
Draw the project network. b.
Identify the critical path. c.
What is the total project completion time and total cost? d.
What is the total project completion time and lowest cost solution if the bank wants to
complete the project 2 weeks early? Problem #3-5:
A competitor of Kozar International, Inc. has begun marketing a new instant-developing film project. Kozar has had a similar product under study in its R&D department but has not yet been able to begin production. Because of the competitor’s action, top managers have asked for a speedup of R&D activities so that Kozar can produce and market instant film at the earliest possible date. The predecessor information and activity time estimates in months are shown below. Most Immediate Optimistic Probable Pessimistic Activity Predecessors Time Time Time
A
--- 1 1.5 5 B
A 3 4 5 C
A 1 2 3 D
B, C 3.5 5 6.5 E
B 4 5 12 F
C, D, E 6.5 7.5 11.5 G
F 5 9 13 a.
Draw the project network. b.
Develop an activity schedule for this project using early and late start and finish times, compute activity slack time, and define the critical activities. c.
What is the probability the project will be completed in time for Kozar to begin marketing the new product within 24 months? Problem #3-6:
Suppose the estimates of activity times (weeks) for Kozar’s project (Previous problem) are as follows. Most Optimistic Probable Pessimistic Activity Time Time Time
A
4 5 6 B
2.5 3 3.5 C
6 7 8 D
5 5.5 9 E
5 7 9 Page 3
BA 360 Operations Management – Practice Problems Chapter
3: Project Management F
2 3 4 G
8 10 12 H
6 7 14 Suppose that the critical path is A-D-F-H. What is the probability that the project will be completed within a.
20 weeks? b.
22 weeks? c.
24 weeks? Problem #3-7:
The critical path for the activities noted below is C, F, H. Given this information, what is the probability that the project will be completed on time (28 weeks)? Activity Preceding Optimistic Most Likely Pessimistic Expected Variance A -- 5 11 14 10.50 2.25 B -- 3 3 9 4.00 1.00 C -- 6 10 14 10.00 1.78 D A, B 3 5 7 5.00 0.44 E B 4 6 11 6.50 1.36 F C 8 10 14 10.33 1.00 G D, E 2 4 6 4.00 0.44 H F 3 3 9 4.00 1.00 Problem #3-8:
If an activity has a normal time of 15 days can be shortened to 10 days for $3,000 what is the crash cost per period? Problem #3-9:
Given the following information, what is the Critical Path of this project and the Normal Cost to complete it? Activity Immediate
Predecessor Normal
Time Crash Time Normal Cost Crash Cost A None 3 2 $ 200 $ 400 Page 4
BA 360 Operations Management – Practice Problems Chapter
3: Project Management B A 4 3 $ 300 $ 600 C A 1 1 $ 200 $ 200 D B and C 3 2 $ 500 $ 550 E D 2 1 $ 500 $ 900 Problem #3-10:
A project being analyzed by PERT has 60 activities, 13 of which are on the critical path. If the estimated time along the critical path is 204 days with a project variance of 100, what is the probability that the project will take 224 days or more
to complete? Problem #3-11:
What is the expected time for activity D? Activity
Precedes
Optimistic
Most
Likely
Pessimistic
A D 38 50 62 B E 90 100 108 C End 85 100 115 D F 85 90 140 E End 91 98 115 F End 62 65 68 Problem #3-12:
Which activity should be crashed and what would the cost be to crash it on time? ACTIVITY SLACK NORMAL
TIME CRASH
TIME NORMAL COST CRASH COST J 1 7 6 $ 80,000 $ 120,000 K 1 6 4 $ 200,000 $ 320,000 L 3 3 2 $ 90,000 $ 100,000 M 3 2 1 $ 180,000 $ 250,000 N 0 4 2 $ 410,000 $ 450,000 P 0 3 2 $ 100,000 $ 150,000 Q 1 4 2 $ 310,000 $ 500,000 R 0 2 2 $ 400,000 $ 410,000 Page 5
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Related Questions
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Activity #
Activity name
Predecessors
Time estimates in weeks (a,m,b)
1
Select location and obtain financing
-
2,4,8
2
Rent negotiation and sign paper work
1
1,2,2
3
Cleaning and renovation of the resturant
2
4,6,8
4
Design resutrant menu
-
1,1,1
5
Order and recieve equipment and other necessities
2,4
4,8,12
6
Install equipment
3,5
1,1,1
7
Hire employees
6
1,2,2
8
Final examination
7
1,2,3
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Activity Immediate Predecessor(s)
A
(BCDEFG
This exercise contains only parts b, c, and d.
b) The critical activities for the leadership training program development project are
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d) Slack time for each of the activities is:
days.
B
A, D
с
E, F
Activity
A
B
CDEFG
Slack Time
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3
GANGG
5
2
10
4
8
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Roger Ginde is developing a program in supply chain management certification for managers. Ginde has listed a number of activities that must be completed before a training program of this nature
could be conducted. The activities, immediate predecessors, and times appear in the accompanying table:
Activity Immediate Predecessor(s)
A
BCDEFG
с
This exercise contains only parts b, c, and d.
b) The critical activities for the leadership training program development project are
c) The project length for the leadership training program development project =
d) Slack time for each of the activities is:
days.
Activity
A
B
C
ס ח ד 0
F
B
A, D
C
E, F
G
Slack Time
Time (days)
4
6
1
103510
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You may need to use the appropriate technology to answer this question.
Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the 42-
week completion date requested by the owner. The Mueller project manager prepared the following project network.
Start
Activity
A
B
с
D
E
Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows.
TI
G
H
Optimistic Most Probable
4
6
6
weeks
3
6
5
10
A
5
8
7
12
5
9
8
B
15
6
Pessimistic
12
8
18
7
18
17
20
(b) What is the expected project completion time (in weeks)?
52
13
F
E
(a) Find the critical path. (Enter your answers as a comma-separated list.)
A,C,E,G,H
G
H
Finish
(c) Based only on the critical path, what is the estimated probability the project can be completed in 42 weeks as requested by the owner? (Round your answer to four decimal places.)
X
(d) Based only on the…
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(please try to do math in handwritten)
Use the following project data for problem 1 through 5
Activity name
Predecessor Activity
Activity Duration
N
3
M
2
P
M,N
4
3
P,Q
R,S
2.
1. Prepare an AON Network Diagram
2. Identify all possible paths. Provide that information in a table. The heading of your table
should as follow:
Path
Duration
3. Perform a forward pass and a backward pass. Display your result in an AON diagram.Usethe
follow legend for your node(s)
Activity
ES
EF
Duration
LS
LF
4. Prepare a table summarizing the results of your Activity Schedule. The heading of your
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Activity name ES
Slack
EF
LS
LF
5. Identify the critical path. What is the project duration?
2.
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Problem 9-14 (Algorithmic)
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B
F
H
Start
C
G
Finish
D
E
Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows:
Activity
Optimistic
Most Probable
Pessimistic
A
4
9
14
B
5
7
3
4
D
8
11
14
7
17
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Activity Preceding
Activity
Normal
Crashed Completion
time (week)
Crashed Cost
Completion Time
(week)
7
per week
A
7
B
$500
C
4
3
$700
$600
A
A, C
В, D
D, E
D
7
E
F
10
9.
$800
9
8
$400
i.
Draw the network diagram linking all the activities in a way that it shows if there exist any
preceding activity/activities before starting each of the mentioned activities in the above
table.
ii.
Find the earliest start time, the earliest finish time, the latest start time and the latest finish
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8 EARNED VALUE ANALYSIS
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PV
AC
Budget
($)
Duration
Actual Cost
%
D-8
Activity Predecessor (s)
(week)
($)
Complete
300
400
A
3
100
A3
В
4
200
180
100
B:4
C
7
250
300
90
A
8
600
400
50
400
200
В
40
150
180
F
В
4
100
G
C
4
100
200
40
500
H
D, E
2
300
F, G
3
J
H, I
1
100
ㅇ
CO
프
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Immediate Predecessor(s)
Activity
ABCDEFG
This exercise contains only parts b, c, and d.
b) The critical activities for the leadership training program development project are
B
A, D
C
E, F
Time (days)
4
5
3
10
4
6
10
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PLS HELP WITH A,B,C,D,E
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A project has seven (7) main activities labelled A through G as shown in the
below table which also shows their estimated duration times ( in weeks)
and immediate predecessors.
Activity a
b
Immediate
Remarks
predeccessor
A
1
2
3
a = optimistic time
2
3
4
m = most likely time
C
4
A
b = pessimistic time
8
9
10
E
2
5
8
C,D
4
6.
G
1
2
3
E
(a) Develop a project network for this problem.
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Given is a Project with network diagram and activity times as shown below.
Activity
Time
(wks)
A
13
B
5
Start
с
14
A
c) The Slack time of Activity C = Blank 3 weeks
D
D
a) The Earliest Start (ES) time of Activity I = Blank 1 weeks
9
b) The Latest Start (LS) time of Activity B = Blank 2 weeks
f) The Project Completion time = Blank 6 weeks
d) The Earliest Finish (EF) time of Activity H = Blank 4 weeks
e) The Latest Finish (LF) time of Activity B = Blank 5 weeks
B
F
E
12
E
F
LL
17
H
G
9
J
H
15
-
15
J
2
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requested by the owner. The Davison project manager prepared the following project network.
B
F
H
Start
A
G
Finish
D
E
Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows.
Activity
Optimistic
Most Probable
Pessimistic
A
4
8
12
B
6
6
12
18
D
7
E
6
18
F
5
17
G
10
15
20
H
5
6
13
(a) Find the critical path. (Enter your answers as a comma-separated list.)
(b) What is the expected project completion time (in weeks)?
weeks
(c) Based only on the critical path, what is the estimated probability the project can be completed in 46 weeks as requested by the owner? (You may need to use the appropriate technology to answer this question. Round
your answer to four decimal places.)
(d) Based only on the critical path, what is the…
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erator and water tank. The activities, activity descriptions and estimated durations are
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Description
Excavate
Erect building
Install generator
Install tank
Activity
A
Predecessor Duration
2
B
A
6
A
4
D
A
E
Install maintenance equipment
В
4
F
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B,C,D
5
G
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3
H
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2
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21. Recently, you were assigned to manage a project to remodel the seminar room for your
company. You have constructed a network diagram depicting the various activities in the
project (Figure 7.130). In addition, you have asked your team to estimate the amount of
time that they would expect each of the activities to take. Their responses are shown in the
following table.
Activity
A
B
с
D
E
Optimistic
Start
5
4
5
2
4
Figure 7.13 Network Diagram for Problem 21
B
D
TIME ESTIMATES (DAYS)
Most Likely
8
8
6
4
7
Finish
Pessimistic
11
11
7
6
10
a. What is the expected completion time of the project?
b. What is the probability of completing the project in 21 days or less?
c. What is the probability of completing the project in 17 days or less?
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Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the 42-week completion
date requested by the owner. The Mueller project manager prepared the following project network.
Start
A
B
C
Activity Optimistic Most Probable
D
E
TI
F
Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows.
G
H
4
6
6
3
6
5
сл
10
A
LO
5
8
7
12
5
9
8
B
15
с
6
D
Pessimistic
12
8
18
7
18
17
20
F
13
E
G
H
Finish
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Davison Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architect
and subcontractors will require a major effort to meet the 42-week completion date requested by the owner. The Davison project
manager prepared the following project network.
H
Start
A
Finish
E
Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows.
Activity
Optimistic
Most Probable
Pessimistic
A
4.
8
12
В
6.
8
12
18
D
3
5
7
18
8
17
G
10
15
20
H
5
13
(a) Find the critical path. (Enter your answers as a comma-separated list.)
(b) What is the expected project completion time (in weeks)?
weeks
(c) Based only on the critical path, what is the estimated probability the project can be completed in 42 weeks as requested by the
owner? (You may need to use the appropriate technology to answer this question. Round your answer to four decimal places.)
(d) Based only on the critical path, what is the estimated…
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- Roger Ginde is developing a program in supply chain management certification for managers. Ginde has listed a number of activities that must be completed before a training program of this nature could be conducted. The activities, immediate predecessors, and times appear in the accompanying table: Activity Immediate Predecessor(s) A BCDEFG с This exercise contains only parts b, c, and d. b) The critical activities for the leadership training program development project are c) The project length for the leadership training program development project = d) Slack time for each of the activities is: days. Activity A B C ס ח ד 0 F B A, D C E, F G Slack Time Time (days) 4 6 1 103510arrow_forwardYou may need to use the appropriate technology to answer this question. Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the 42- week completion date requested by the owner. The Mueller project manager prepared the following project network. Start Activity A B с D E Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows. TI G H Optimistic Most Probable 4 6 6 weeks 3 6 5 10 A 5 8 7 12 5 9 8 B 15 6 Pessimistic 12 8 18 7 18 17 20 (b) What is the expected project completion time (in weeks)? 52 13 F E (a) Find the critical path. (Enter your answers as a comma-separated list.) A,C,E,G,H G H Finish (c) Based only on the critical path, what is the estimated probability the project can be completed in 42 weeks as requested by the owner? (Round your answer to four decimal places.) X (d) Based only on the…arrow_forward(please try to do math in handwritten) Use the following project data for problem 1 through 5 Activity name Predecessor Activity Activity Duration N 3 M 2 P M,N 4 3 P,Q R,S 2. 1. Prepare an AON Network Diagram 2. Identify all possible paths. Provide that information in a table. The heading of your table should as follow: Path Duration 3. Perform a forward pass and a backward pass. Display your result in an AON diagram.Usethe follow legend for your node(s) Activity ES EF Duration LS LF 4. Prepare a table summarizing the results of your Activity Schedule. The heading of your table should as follows: Activity name ES Slack EF LS LF 5. Identify the critical path. What is the project duration? 2. 4.arrow_forward
- Problem 9-14 (Algorithmic) Davison Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architect and subcontractors will require a major effort to meet the 44-week (approximately 10-month) completion date requested by the owner. The Davison project manager prepared the following project network: B F H Start C G Finish D E Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows: Activity Optimistic Most Probable Pessimistic A 4 9 14 B 5 7 3 4 D 8 11 14 7 17arrow_forwardActivities, preceding activities, normal and crashed completion times of each of the activities and crashed costs of activities per week of a project are given in the following table. Activity Preceding Activity Normal Crashed Completion time (week) Crashed Cost Completion Time (week) 7 per week A 7 B $500 C 4 3 $700 $600 A A, C В, D D, E D 7 E F 10 9. $800 9 8 $400 i. Draw the network diagram linking all the activities in a way that it shows if there exist any preceding activity/activities before starting each of the mentioned activities in the above table. ii. Find the earliest start time, the earliest finish time, the latest start time and the latest finish time of each of the activities in the drawn diagram of the project and hence the completion time of the project and the critical path.arrow_forwardTable 7.8 contains data for the installation of new equipment in a manufacturing process at Excello Corporation. Your company is responsible for the installation project. Indirect costs are $15,000 per week, and a penalty cost of $9,000 per week will be incurred by your company for every week the project is delayed beyond week 9.a. What is the shortest time duration for this project regardless of cost?b. What is the minimum total cost associated with completing the project in 9 weeks?c. What is the total time of the minimum-cost schedule?arrow_forward
- Consider the following information for a project to add a drive-through window at Crestview Bank. Activity Activity Time (days) Immediate Predecessor(s)C 4 AD 4 B, CE 4 DF 3 EG 5 Ea. Draw the network diagram for this project.b. Determine the critical path and project duration.c. Calculate the slack for each activity.arrow_forward8 EARNED VALUE ANALYSIS The following project is reported to be at the end of its 8 week. Find the cost and schedule variances. Also find the CPI, SPI, CSI, ETC and EAC for the project. Find the condition of the project at the this reporting period. PV AC Budget ($) Duration Actual Cost % D-8 Activity Predecessor (s) (week) ($) Complete 300 400 A 3 100 A3 В 4 200 180 100 B:4 C 7 250 300 90 A 8 600 400 50 400 200 В 40 150 180 F В 4 100 G C 4 100 200 40 500 H D, E 2 300 F, G 3 J H, I 1 100 ㅇ CO 프 (-)arrow_forwardDon't use chatgptarrow_forward
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