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Consider the following work breakdown structure:  Duration Estimate (Days)  Start  Finish  Activity  Node  Node  Optimistic  Most Likely  Pessimistic  A 1291521 B 13132123 C 246918 D 25233547 E 35192627 F 46232941 G 56142026 H 67258\begin{array}{r} \text { Duration Estimate (Days) }\quad \quad \quad \quad \\\begin{array}{lccccc} & \text { Start } & \text { Finish } \\\text { Activity } & \text { Node } & \text { Node } & \text { Optimistic } & \text { Most Likely } & \text { Pessimistic } \\\hline \text { A } & 1 & 2 & 9 & 15 & 21 \\\text { B } & 1 & 3 & 13 & 21 & 23 \\\text { C } & 2 & 4 & 6 & 9 & 18 \\\text { D } & 2 & 5 & 23 & 35 & 47 \\\text { E } & 3 & 5 & 19 & 26 & 27 \\\text { F } & 4 & 6 & 23 & 29 & 41 \\\text { G } & 5 & 6 & 14 & 20 & 26 \\\text { H } & 6 & 7 & 2 & 5 & 8\end{array}\end{array} What is the probability that the critical path for this project will be completed within 75 weeks? 80 weeks? 85 weeks? 90 weeks?

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.5; .8413;...

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Consider the following work breakdown structure:  Activity  Precedes  Normal  Time (wks)  Crashing  Cost (1st  week )(2nd  week)  Start  A, B  A  C, D 68 B  G 456 C  E 4 D  F 566 E  H 688 F  H 6710 G  I 835 H  End 51215 I  End 65\begin{array} { l c c c c } \text { Activity } & \text { Precedes } & \begin{array} { c } \text { Normal } \\\text { Time (wks) }\end{array} & \begin{array} { c } \text { Crashing } \\\text { Cost } \left( 1 ^ { \text {st } } \text { week } \right)\end{array} & \left( 2 ^ { \text {nd } } \right. \text { week) } \\\hline \text { Start } & \text { A, B } & - & - & - \\\text { A } & \text { C, D } & 6 & 8 & - \\\text { B } & \text { G } & 4 & 5 & 6 \\\text { C } & \text { E } & 4 & - & - \\\text { D } & \text { F } & 5 & 6 & 6 \\\text { E } & \text { H } & 6 & 8 & 8 \\\text { F } & \text { H } & 6 & 7 & 10 \\\text { G } & \text { I } & 8 & 3 & 5 \\\text { H } & \text { End } & 5 & 12 & 15 \\\text { I } & \text { End } & 6 & 5 & -\end{array} In crashing this project, which activity should be the first to be reduced?

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Consider the following work breakdown structure:  Time Estimates (wks)   Start  Finish  Activity  Node  Node t0tmtp A 12112029 B 23258 C 24183042 D 3471013 E 14314043\begin{array}{r}{\text { Time Estimates (wks) }} \\\begin{array}{lccccc}& \text { Start } & \text { Finish } \\\text { Activity } & \text { Node } \quad\quad& \text { Node } \quad\quad& \mathrm{t}_{0} \quad\quad& \mathrm{t}_{\mathrm{m}} \quad& \mathrm{t}_{\mathrm{p}} \quad\\\hline \text { A } & 1 & 2 & 11 & 20 & 29 \\\text { B } & 2 & 3 & 2 & 5 & 8 \\\text { C } & 2 & 4 & 18 & 30 & 42 \\\text { D } & 3 & 4 & 7 & 10 & 13 \\\text { E } & 1 & 4 & 31 & 40 & 43\end{array}\end{array} What is the estimated expected (mean) time for activity E?


A) 31 weeks
B) 38 weeks
C) 39 weeks
D) 40 weeks
E) 43 weeks

F) C) and D)
G) All of the above

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A project is represented by the following diagram: A project is represented by the following diagram:   The critical path for the network shown is: A)  1-3-6-7. B)  1-2-4-7. C)  1-4-7. D)  1-3-4-7. E)  1-2-5-7. The critical path for the network shown is:


A) 1-3-6-7.
B) 1-2-4-7.
C) 1-4-7.
D) 1-3-4-7.
E) 1-2-5-7.

F) C) and D)
G) A) and B)

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A popular tool for planning and scheduling simple projects, and for initial planning on more complex projects, is the:


A) activity-on-arrows network.
B) activity-on-nodes network.
C) Gantt chart.
D) critical path method.
E) program evaluation and review technique.

F) A) and B)
G) B) and D)

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In project network analysis, "slack" refers to the difference between:


A) observed and predicted times.
B) optimistic and pessimistic times.
C) mean and modal times.
D) finish and start times.
E) latest and earliest times.

F) A) and B)
G) B) and C)

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Given this information about activity 3-4: 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.

F) B) and D)
G) A) and E)

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Consider the following work breakdown structure:  Time Estimates (wks)   Start  Finish  Activity  Node  Node t0tmtp A 12112029 B 23258 C 24183042 D 3471013 E 14314043\begin{array}{r}{\text { Time Estimates (wks) }} \\\begin{array}{lccccc}& \text { Start } & \text { Finish } \\\text { Activity } & \text { Node } \quad\quad& \text { Node } \quad\quad& \mathrm{t}_{0} \quad\quad& \mathrm{t}_{\mathrm{m}} \quad& \mathrm{t}_{\mathrm{p}} \quad\\\hline \text { A } & 1 & 2 & 11 & 20 & 29 \\\text { B } & 2 & 3 & 2 & 5 & 8 \\\text { C } & 2 & 4 & 18 & 30 & 42 \\\text { D } & 3 & 4 & 7 & 10 & 13 \\\text { E } & 1 & 4 & 31 & 40 & 43\end{array}\end{array} What is the probability that the critical path for this project will be completed within 52 weeks?


A) 0.1554
B) 0.3108
C) 0.3466
D) 0.6554
E) 0.8277

F) B) and E)
G) A) and E)

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The costs associated with risk events tend to be lower near the beginning of a project and higher near the end of the project.

A) True
B) False

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At which point does crashing of a project cease?


A) when the project is completed
B) when no additional crashing is possible
C) when the cost to crash equals or exceeds the benefit of crashing
D) when the project is one-half completed
E) when the team has been disbanded

F) C) and E)
G) C) and D)

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A sequence of activities that leads from the starting node to the finishing node is called a:


A) path.
B) sequel.
C) trail.
D) critical sequence.
E) time line.

F) A) and C)
G) C) and D)

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A hierarchical listing of what must be done in a project is called a:


A) work breakdown structure (WBS) .
B) PERT.
C) planning matrix.
D) crashing plan.
E) critical path.

F) A) and E)
G) B) and E)

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Most likely time generally is more than optimistic time.

A) True
B) False

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Consider the following work breakdown structure:  Duration Estimate (Days)  Start  Finish  Activity  Node  Node  Optimistic  Most Likely  Pessimistic  A 1291521 B 13132123 C 246918 D 25233547 E 35192627 F 46232941 G 56142026 H 67258\begin{array}{r} \text { Duration Estimate (Days) }\quad \quad \quad \quad \\\begin{array}{lccccc} & \text { Start } & \text { Finish } \\\text { Activity } & \text { Node } & \text { Node } & \text { Optimistic } & \text { Most Likely } & \text { Pessimistic } \\\hline \text { A } & 1 & 2 & 9 & 15 & 21 \\\text { B } & 1 & 3 & 13 & 21 & 23 \\\text { C } & 2 & 4 & 6 & 9 & 18 \\\text { D } & 2 & 5 & 23 & 35 & 47 \\\text { E } & 3 & 5 & 19 & 26 & 27 \\\text { F } & 4 & 6 & 23 & 29 & 41 \\\text { G } & 5 & 6 & 14 & 20 & 26 \\\text { H } & 6 & 7 & 2 & 5 & 8\end{array}\end{array} What are the estimated slack times (in weeks) for activities A-H?

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0; 5; 15; ...

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If an activity is determined to be on the critical path, that means that it, and perhaps others, will affect project:


A) direct costs.
B) performance.
C) quality.
D) conflict.
E) duration.

F) A) and E)
G) A) and B)

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In the project network presented below, numbers on each arrow refer to the expected time and standard deviation in weeks for that particular activity. For example, "8,2" indicates an activity with an expected time of 8 and a standard deviation of two weeks. In the project network presented below, numbers on each arrow refer to the expected time and standard deviation in weeks for that particular activity. For example,  8,2  indicates an activity with an expected time of 8 and a standard deviation of two weeks.   For this project, determine each of the following: (A) the activities which are on the critical path (B) the expected project duration (C) the probability that the project will be completed in 29 weeks or less For this project, determine each of the following: (A) the activities which are on the critical path (B) the expected project duration (C) the probability that the project will be completed in 29 weeks or less

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(A) The critical path is 1-3-6...

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An advantage of Gantt charts in project management is that they identify which activities can be delayed without delaying the overall project.

A) True
B) False

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The network diagram describes sequential relationships among major activities on a project.

A) True
B) False

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Shortening activity durations is called:


A) expediting.
B) crashing.
C) vendor management.
D) null nodes.
E) trade-off analysis.

F) A) and E)
G) B) and E)

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Path probabilities are calculated by dividing path mean by path standard deviations.

A) True
B) False

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