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?

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 C

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) .8413 B) .90 C) .9544 D) .9772 E) .9987 A) .8413 B) .90 C) .9544 D) .9772 E) .9987

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?

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

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

Exam 17: Project Management

Prepare a crashing plan for the following project that will reduce the project duration by three weeks. Activity Normal Time (week) Cost for First Crash Cost for Second Crash 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

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Question 1

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First crashed activity is 5-6 for a cost of 11. This reduces overall duration to 22 weeks but creates two critical paths.
There are two ways a second week can be crashed out of this project. Option 1 is to crash activity 4-5 by one week for a cost of 20. The other is to crash activities 3-4 (cost = 8) and 6-7 (cost = 12).
For the third one-week reduction, activity 4-5 must be crashed, for a cost of 20.

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.

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Question 2

Correct Answer:

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$\begin{array}{lllll}\text { Path } & \text { Duration } & \text { Std. Dev. } & z & \text { Prob } \leq 26 \text { weeks } \\\hline 1-2-5-7 & 25.00 & 2.45 & 0.41 & 0.6584 \\1-4-7 & 11.67 & 1.00 & 7.33 & \approx 1.00 \\1-3-6-7 & 19.33 & 1.63 & 4.08 & \approx 1.00\end{array}$

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

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Question 3

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C

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:

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Question 4

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.

(True/False)

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Question 5

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.

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Question 6

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. Activity Exp.Time St.Dev 1-2 6 1.31 2-4 6 2.70 1-3 7 1.00 3-4 6 0.00

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Question 7

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

(Multiple Choice)

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Question 8

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

(Multiple Choice)

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Question 9

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

(Multiple Choice)

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Question 10

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

(Multiple Choice)

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Question 11

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

(Multiple Choice)

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Question 12

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.

(Multiple Choice)

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Question 13

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

(Multiple Choice)

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Question 14

A Gantt chart is built using established precedence relationships.

(True/False)

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Question 15

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

(True/False)

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Question 16

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?

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Question 17

Consider the following work breakdown structure: Time Estimates (wks) Start Finish Activity Node Node A 1 2 11 20 29 B 2 3 2 5 8 C 2 4 18 30 42 D 3 4 7 10 13 E 1 4 31 40 43 What is the estimated expected (mean) time for project completion?

(Multiple Choice)

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Question 18

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

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Question 19

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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Question 20

Exam 17: Project Management

Prepare a crashing plan for the following project that will reduce the project duration by three weeks. Activity Normal Time (week) Cost for First Crash Cost for Second Crash 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

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.

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:

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.

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.

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. Activity Exp.Time St.Dev 1-2 6 1.31 2-4 6 2.70 1-3 7 1.00 3-4 6 0.00

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

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

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

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

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

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.

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

A Gantt chart is built using established precedence relationships.

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

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?

Consider the following work breakdown structure: Time Estimates (wks) Start Finish Activity Node Node A 1 2 11 20 29 B 2 3 2 5 8 C 2 4 18 30 42 D 3 4 7 10 13 E 1 4 31 40 43 What is the estimated expected (mean) time for project completion?

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

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

Introduction to Operations Management

Competitiveness, Strategy, and Productivity

Forecasting

Product and Service Design

Extension: Reliability

Strategic Capacity Planning for Products and Services

Extension: Decision Theory

Process Selection and Facility Layout

Work Design and Measurement

Extension: Learning Curves

Location Planning and Analysis

Extension: The Transportation Model

Management of Quality

Quality Control

Extension: Acceptance Sampling

Aggregate Planning and Master Scheduling

MRP and ERP

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Jit and Lean Operations

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Supply Chain Management

Scheduling

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