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Exam 17: Project Management

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Question 1

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

A) 35 weeks
B) 39 weeks
C) 50 weeks
D) 104 weeks
E) 105 weeks

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

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Question 2

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Although PERT and CPM were originally developed for somewhat different types of projects, they are now nearly identical in terms of analysis and procedures.

A) True
B) False

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Question 3

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A project has the activities and activity times (days) listed below. Determine the probability that the project will require more than 15 days from start to finish. $\begin{array} { l l l } \text { Activity } & \text { Exp.Time } & \text { St.Dev } \\\hline 1 - 2 & 6 & 1.31 \\2 - 4 & 6 & 2.70 \\1 - 3 & 7 & 1.00 \\3 - 4 & 6 & 0.00\end{array}$

Consider the project depicted by the following A-O-A diagram: What is the probability that this project's duration will exceed 8.5 weeks?

Prepare a crashing plan for the following project that will reduce the project duration by three weeks. $\begin{array} { l c c c } \text { Activity } & \begin{array} { c } \text { Normal } \\\text { Time (week) }\end{array} & \begin{array} { c } \text { Cost for } \\\text { First Crash }\end{array} & \begin{array} { c } \text { Cost for } \\\text { Second Crash }\end{array} \\\hline 1 - 2 & 4 & 12 & 15 \\2 - 4 & 5 & 15 & 15 \\1 - 3 & 5 & 10 & 12 \\3 - 4 & 4 & 8 & 9 \\4 - 5 & 6 & 20 & 20 \\5 - 6 & 3 & 11 & 14 \\6 - 7 & 5 & 12 & 13 \\5 - 7 & 7 & 15 & 16\end{array}$

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:

To _____ an activity means to shorten the time it will take.

The higher the node number, the longer the activity will take.

Activity E has an optimistic time of 9 days, a most likely time of 12 days, and a pessimistic time of 15 days. Estimate its expected time and standard deviation.

Consider the following work breakdown structure: $\begin{array}{cccccc}&\text { Start }&\text { Finish }&&\text { Duration (Days) } \\\text { Activity } & \text { Node } & \text { Node } & \text { Optimistic } & \text { Most Likely } & \text { Pessimistic } \\\hline \text { A } & 1 & 2 & 41 & 50 & 59 \\\text { B } & 1 & 3 & 54 & 60 & 66 \\\text { C } & 2 & 4 & 58 & 70 & 82 \\\text { D } & 3 & 4 & 32 & 41 & 44\end{array}$ What is the probability that this project will be completed within 130 days?

A Gantt chart is built using established precedence relationships.

Which of the following would probably not involve the use of PERT?

If two consecutive activities on the same path each have two days of activity slack, this means that each of them can be delayed by two days without delaying the project.

When developing probabilistic estimates of project duration, it is necessary to know which of the following?

Consider the following work breakdown structure: $\begin{array}{l}\begin{array} { c c c c c } &&&\text { Time Estimates (days) }\\\text { Activity } & \text { Precedes } & \text { Optimistic } & \text { Most Likely } & \text { Pessimistic } \\\hline \text { Start } & \text { A, B, C } & - & - & - \\\text { A } & \text { D } & 38 & 50 & 62 \\\text { B } & \text { E } & 90 & 99 & 108 \\\text { C } & \text { End } & 85 & 100 & 115 \\\text { D } & \text { F } & 19 & 25 & 31 \\\text { E } & \text { End } & 91 & 100 & 115 \\\text { F } & \text { End } & 62 & 65 & 68\end{array}\end{array}$ What is the estimated standard deviation in the time for activity E?

Using the information given in the following table: $\begin{array}{lll}\text { Activity } & \text { Precedes } & \text { Duration } \\\hline \text { Start } & \text { a, b, c } & - \\\text { a } & \text { d } & 5 \\\text { d } & \text { f } & 6 \\\text { f } & \text { g } & 2 \\\text { b } & \text { e } & 5 \\\text { e } & \text { f } & 9 \\\text { c } & \text { h } & 4 \\\text { h } & \text { g, i } & 6 \\\text { g } & \text { end } & 3 \\\text { I } & \text { end } & 1\end{array}$ (A) Identify the critical path. (B) Determine expected project duration.

Which of the following are advantages of PERT? (I) It is visual. (II) It is automatically updated. (III) Activities that need to be watched closely can be identified.

Given the network diagram below, determine the probability that the project will finish within 26 weeks of its start. Times on the diagram are in weeks.

Which of the following is not a form of risk reduction in project management?

Consider the following work breakdown structure: $\begin{array}{l}\begin{array} { c c c c c } &&&\text { Time Estimates (days) }\\\text { Activity } & \text { Precedes } & \text { Optimistic } & \text { Most Likely } & \text { Pessimistic } \\\hline \text { Start } & \text { A, B, C } & - & - & - \\\text { A } & \text { D } & 38 & 50 & 62 \\\text { B } & \text { E } & 90 & 99 & 108 \\\text { C } & \text { End } & 85 & 100 & 115 \\\text { D } & \text { F } & 19 & 25 & 31 \\\text { E } & \text { End } & 91 & 100 & 115 \\\text { F } & \text { End } & 62 & 65 & 68\end{array}\end{array}$ What is the estimated expected (mean) time for project completion?