Deck 16: Pert CPM models for project management
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Deck 16: Pert CPM models for project management
1
An immediate predecessor of an activity must be completed before that activity can begin
True
2
If two paths are tied for the longest duration,both would be considered to be critical paths
True
3
In an Activity-On-Node project network,the nodes are used to separate an activity from each of its immediate predecessors
False
4
Although PERT and CPM were originally developed for somewhat different types of projects,they are now nearly identical in terms of analysis and procedures
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5
A Gantt chart of a project shows the scheduled start and finish times for activities
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6
Projects involve routine activities that are performed repeatedly
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7
The earliest finish time for an activity is equal to the latest finish time minus the duration of the activity
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8
The activities with the longest durations in a project network are called critical activities
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9
In PERT,the path with the fewest activities is referred to as the critical path
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10
The sum of durations of the longest path in a project network indicates expected project completion time,and the activities are the critical activities
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11
In PERT,the project duration will never exceed the expected duration of the critical path
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12
The length of the critical path is determined by adding the expected completion times for all the activities in the project
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13
Project managers must often function in an environment that is beset with uncertainties
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14
An activity in a project network cannot begin until all of the activities leading into that activity have been completed
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15
The earliest start of an activity is the latest early finish of any immediately preceding activity
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16
The latest starting time for an activity is equal to the latest finish time minus the duration of the activity
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17
The earliest finish time for an activity is equal to the latest finish time minus the activity slack
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18
The project network diagram describes sequential relationships among major activities in a project
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19
The path in a project network with the average duration is the critical path
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20
The values assigned to the nodes in a project network are there to identify the precedence relationships
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21
The slack of an activity is the difference between the latest finish and the earliest finish times
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22
If an activity is not on the critical path,then the project cannot be delayed if that activity is delayed
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23
Activities that are not on the critical path have a slack time equal to zero
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24
Only activities on the critical path are initial candidates for crashing
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25
The PERT three-estimate approach can be used to determine the probability that a project will be completed by a certain time
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26
When making a backward pass through a project network,you must start at the finish node
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27
Crashing cannot be accomplished by using different materials than originally planned
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28
If the variance of an activity duration is equal to 1 then all the durations are the same
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29
The CPM method provides an excellent procedure for evaluating time-cost tradeoffs
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30
The mean critical path is the path through the project network that would be the critical path if the duration of each activity equals its mean
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31
The slack of any activity is the amount of time that the activity can be delayed without delaying the completion of the project
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32
When calculating the probability that a project will finish by a certain time,the approximation that is obtained is usually lower than the true probability
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33
A normal distribution is usually used to describe the form of the probability distribution of activity durations in the PERT three-estimate approach
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34
The latest finish of an activity is the earliest late start of any immediately preceding activity
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35
A manager has decided that an activity has a pessimistic estimate of 15 days,a most-likely estimate of 6 days,and an optimistic estimate of 3 days The expected duration of this activity is 6 days
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36
The standard deviation of the critical path is equal to the sum of the standard deviations of all the activities on the critical path
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37
A forward pass is the process of moving forward through the project network to determine the latest start times and latest finish times of each activity
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38
Crashing an activity will always reduce the duration of a project
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39
In order to determine the probability of timely project completion,it is sometimes necessary to take into account paths other than the critical path
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40
PERT/Cost is a systematic procedure to help a project manager bid on a project
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41
In a project network the critical path is the sequence of activities which has:
A)the most activities
B)the fewest activities
C)the most events
D)the longest time
E)the greatest variance
A)the most activities
B)the fewest activities
C)the most events
D)the longest time
E)the greatest variance
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42
PERT/CPM can answer which of the following questions?
A)When do activities need to start and finish to meet a deadline?
B)How much delay can be tolerated for certain activities?
C)Given uncertainties,what is the probability that a project will finish on time?
D)What is the least expensive way to expedite a project to meet a deadline?
E)All of the above
A)When do activities need to start and finish to meet a deadline?
B)How much delay can be tolerated for certain activities?
C)Given uncertainties,what is the probability that a project will finish on time?
D)What is the least expensive way to expedite a project to meet a deadline?
E)All of the above
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43
Given this information about activity H: ES = 10,EF = 15,LS = 16,and LF = 21,we can determine that the amount of slack associated with the activity is:
A)0
B)1
C)5
D)6
E)11
A)0
B)1
C)5
D)6
E)11
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44
In project network analysis,slack refers to the difference between:
A)observed and predicted times
B)optimistic and pessimistic times
C)latest finish and latest start times
D)earliest finish and earliest start times
E)latest start and earliest start times
A)observed and predicted times
B)optimistic and pessimistic times
C)latest finish and latest start times
D)earliest finish and earliest start times
E)latest start and earliest start times
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45
51 
A)22
B)23
C)24
D)25
E)26

A)22
B)23
C)24
D)25
E)26
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46
AON project networks have which of the following advantages over AOA networks?
A)They are easier to construct
B)They allow the project to be completed faster
C)They are easier to revise when there are changes in a project
D)a and c only
E)b and c only
A)They are easier to construct
B)They allow the project to be completed faster
C)They are easier to revise when there are changes in a project
D)a and c only
E)b and c only
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47
Which of the following is not a feature of PERT/CPM?
A)An estimate of how long a project will take
B)A graphical display of project activities
C)An indication of crucial activities
D)An indication of slack time
E)All are features
A)An estimate of how long a project will take
B)A graphical display of project activities
C)An indication of crucial activities
D)An indication of slack time
E)All are features
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48

The expected duration of this project is:
A)12
B)17
C)20
D)36
E)77
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49
A project manager does not need to monitor each individual activity,just the overall project when looking at budget costs
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50
Concerning PERT and CPM:
A)These are two different names for essentially the same technique
B)CPM tends to focus more on the critical path
C)PERT gives a better indication of activity slack,CPM a better picture of path slack
D)Because of its recent discovery,much less is known about CPM that PERT
E)All of the above are true
A)These are two different names for essentially the same technique
B)CPM tends to focus more on the critical path
C)PERT gives a better indication of activity slack,CPM a better picture of path slack
D)Because of its recent discovery,much less is known about CPM that PERT
E)All of the above are true
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51
The critical path for the network shown is:
A)A-C-G
B)A-D-F-G
C)A-D-H-I
D)B-E-F-G
E)B-E-H-I
A)A-C-G
B)A-D-F-G
C)A-D-H-I
D)B-E-F-G
E)B-E-H-I
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52
The path with the greatest slack is:
A)A-E
B)B-F
C)C-D-F
D)C-G
E)None of the above
A)A-E
B)B-F
C)C-D-F
D)C-G
E)None of the above
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53
PERT/Cost can be used to monitor budget overruns
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54
There is currently no method that permits activities and their immediate predecessors to overlap
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55
The critical path is:
A)A-E
B)B-F
C)C-D-F
D)C-G
E)there are two critical paths
A)A-E
B)B-F
C)C-D-F
D)C-G
E)there are two critical paths
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56
The earliest start time for an activity is:
A)based on the length of the critical path
B)determined by the maximum of the earliest finish times of its immediate predecessors
C)determined by the maximum of the earliest finish times of its immediate successors
D)the same as the latest start time of its immediate predecessor
E)None of the above
A)based on the length of the critical path
B)determined by the maximum of the earliest finish times of its immediate predecessors
C)determined by the maximum of the earliest finish times of its immediate successors
D)the same as the latest start time of its immediate predecessor
E)None of the above
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57
52 
A)3
B)4
C)9
D)10
E)12

A)3
B)4
C)9
D)10
E)12
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58
A common assumption when using PERT/Cost is that the costs are incurred at a constant rate throughout the duration of an activity
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59
The duration of the critical path is:
A)11 days
B)20 days
C)18 days
D)22 days
E)15 days
A)11 days
B)20 days
C)18 days
D)22 days
E)15 days
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60
Activity C has an early start time of 8,an early finish time of 12,a latest start time of 13,and a latest finish time of 17 Its slack is:
A)0
B)1
C)4
D)5
E)9
A)0
B)1
C)4
D)5
E)9
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61
What is the probability that this project will be completed within 205 days?
A)0 6826
B)0 8413
C)0 9544
D)0 9772
E)0 9987
A)0 6826
B)0 8413
C)0 9544
D)0 9772
E)0 9987
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62

The expected duration of this project is:
A)13
B)15
C)20
D)52
E)81
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63
What is the estimated standard deviation in the time for activity E?
A)2 days
B)3 days
C)4 days
D)16 days
E)24 days
A)2 days
B)3 days
C)4 days
D)16 days
E)24 days
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64
An activity has an optimistic time estimate of three days,a most likely time estimate of eight days,and a pessimistic time estimate of ten days The expected duration of this activity is:
A)7 0 days
B)7 5 days
C)8 0 days
D)8 5 days
E)10 0 days
A)7 0 days
B)7 5 days
C)8 0 days
D)8 5 days
E)10 0 days
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65
Activity C in a project network has an optimistic time estimate of five days,a most likely time estimate of seven days,and a pessimistic time estimate of nine days Its expected duration is approximately:
A)5 days
B)6 days
C)7 days
D)8 days
E)9 days
A)5 days
B)6 days
C)7 days
D)8 days
E)9 days
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66
There are four activities on the critical path,and they have standard deviations of 1,2,4,and 2 days The standard deviation of the critical path is:
A)3 days
B)5 days
C)9 days
D)16 days
E)25 days
A)3 days
B)5 days
C)9 days
D)16 days
E)25 days
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67
The standard deviation of a path is computed as:
A)the sum of the standard deviations of all activities on the path
B)the square root of the sum of the standard deviations of all activities on the path
C)the sum of the variances of all activities on the path
D)the square root of the sum of the variances of all activities on the path
E)None of the above
A)the sum of the standard deviations of all activities on the path
B)the square root of the sum of the standard deviations of all activities on the path
C)the sum of the variances of all activities on the path
D)the square root of the sum of the variances of all activities on the path
E)None of the above
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68
The path with the greatest slack is:
A)A-E-H
B)B-H
C)A-D-G
D)C-F-H
E)C-I-J
A)A-E-H
B)B-H
C)A-D-G
D)C-F-H
E)C-I-J
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69
What is the estimated slack time for activity A?
A)0 days
B)20 days
C)40 days
D)60 days
E)100 days
A)0 days
B)20 days
C)40 days
D)60 days
E)100 days
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70
The slack for path A-D-H-I is:
A)0
B)3
C)4
D)7
E)8
A)0
B)3
C)4
D)7
E)8
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71
There are four activities on the critical path Coincidentally,their standard deviations are all equal to 4 The standard deviation of the critical path is therefore equal to:
A)2 days
B)4 days
C)8 days
D)16 days
E)64 days
A)2 days
B)4 days
C)8 days
D)16 days
E)64 days
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72
What is the estimated mean time for activity E?
A)91 days
B)99 days
C)100 days
D)101 days
E)115 days
A)91 days
B)99 days
C)100 days
D)101 days
E)115 days
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73
When finding the approximate probability of project duration,it is necessary to know which of the following?
A)The mean and variance of each activity
B)The mean of each activity on the critical path
C)The standard deviation of only the activities on the critical path
D)Each activity's probability of completion
E)The distribution of activity times
A)The mean and variance of each activity
B)The mean of each activity on the critical path
C)The standard deviation of only the activities on the critical path
D)Each activity's probability of completion
E)The distribution of activity times
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74
What is the estimated slack time for activity D?
A)0 days
B)30 days
C)40 days
D)50 days
E)100 days
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75
What is the estimated standard deviation in the time for activity E?
A)1 days
B)2 days
C)3 days
D)4 days
E)5 days
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76
An important assumption in PERT calculations is:
A)activity durations are normally distributed
B)activity durations are independent
C)a computer will be available to do the calculations
D)a and b only
E)a and c only
A)activity durations are normally distributed
B)activity durations are independent
C)a computer will be available to do the calculations
D)a and b only
E)a and c only
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77
What is the estimated mean time for project completion?
A)160 days
B)170 days
C)200 days
D)210 days
E)300 days
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78
What is the estimated mean time for activity E?
A)35 days
B)36 days
C)39 days
D)40 days
E)45 days
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79
What is the estimated mean time for project completion?
A)100 days
B)140 days
C)199 days
D)200 days
E)440 days
A)100 days
B)140 days
C)199 days
D)200 days
E)440 days
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80
The critical path for the network shown is:
A)A-E-H
B)B-H
C)A-D-G
D)C-F-H
E)C-I-J
A)A-E-H
B)B-H
C)A-D-G
D)C-F-H
E)C-I-J
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