Ch15 – s Supplement Advanced Methods for | Full Test Bank - Managing Operations Supply Chain 4e Complete Test Bank by Morgan Swink. DOCX document preview.
Chapter 15S Test Bank
Multiple Choice Questions
1. In evaluating time-cost trade-offs, we start by crashing the task on the critical path that:
A. Has the lowest cost to reduce by one unit of time.
B. Has the lowest total crash cost.
C. Can be reduced the most.
D. Is the longest.
E. None of these.
AACSB: Reflective Thinking
Accessibility: Keyboard Navigation
Accessibility: Screen Reader Compatible
Blooms: Remember
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 1 Easy
Topic: Project Crashing: Making Time-Cost Trade-Offs
2. Annie is planning a large surprise party for her sister Gwendolyn. She has developed the following plan, including estimates of the time (in hours) and cost necessary to perform each of the tasks required.
Task | Immediate Predecessor | Planned Duration | Minimum Duration | Crash Cost | |
A. Create Guest List | -- | 8 | 4 | $ | 27.50 |
B. Send Invitations | A | 2 | 1 | $ | 25.00 |
C. Buy Decorations | A | 8 | 6 | $ | 35.00 |
D. Plan Menu | A | 3 | 2 | $ | 60.00 |
E. Purchase Food | D | 4 | 2 | $ | 37.50 |
F. Prepare Food | E | 5 | 3 | $ | 125.00 |
What is the planned duration of the preparation for the surprise party, assuming the critical path is completed?
A. 16 hours
B. 8 hours
C. 20 hours
D. 30 hours
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 2 Medium
Topic: Project Crashing: Making Time-Cost Trade-Offs
3. Annie is planning a large surprise party for her sister Gwendolyn. She has developed the following plan, including estimates of the time (in hours) and cost necessary to perform each of the tasks required.
Task | Immediate Predecessor | Planned Duration | Minimum Duration | Crash Cost | |
A. Create Guest List | -- | 8 | 4 | $ | 27.50 |
B. Send Invitations | A | 2 | 1 | $ | 25.00 |
C. Buy Decorations | A | 8 | 6 | $ | 35.00 |
D. Plan Menu | A | 3 | 2 | $ | 60.00 |
E. Purchase Food | D | 4 | 2 | $ | 37.50 |
F. Prepare Food | E | 5 | 3 | $ | 125.00 |
Annie will save $40 for every hour she can reduce from her plan. Annie has decided to crash her project and use the money she saves to purchase a larger gift for Gwendolyn. Which task should she crash first?
A. A
B. D
C. C
D. E
E. B
AACSB: Reflective Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 2 Medium
Topic: Project Crashing: Making Time-Cost Trade-Offs
4. Annie is planning a large surprise party for her sister Gwendolyn. She has developed the following plan, including estimates of the time (in hours) and cost necessary to perform each of the tasks required.
Task | Immediate Predecessor | Planned Duration | Minimum Duration | Crash Cost | |
A. Create Guest List | -- | 8 | 4 | $ | 27.50 |
B. Send Invitations | A | 2 | 1 | $ | 25.00 |
C. Buy Decorations | A | 8 | 6 | $ | 35.00 |
D. Plan Menu | A | 3 | 2 | $ | 60.00 |
E. Purchase Food | D | 4 | 2 | $ | 37.50 |
F. Prepare Food | E | 5 | 3 | $ | 125.00 |
Annie will save $40 for every hour she can reduce from her plan. If Annie crashes only task A to its minimum duration, how much will she save on the project?
A. $55
B. $185
C. $160
D. $50
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 3 Hard
Topic: Project Crashing: Making Time-Cost Trade-Offs
5. Annie is planning a large surprise party for her sister Gwendolyn. She has developed the following plan, including estimates of the time (in hours) and cost necessary to perform each of the tasks required.
Task | Immediate Predecessor | Planned Duration | Minimum Duration | Crash Cost | |
A. Create Guest List | -- | 8 | 4 | $ | 27.50 |
B. Send Invitations | A | 2 | 1 | $ | 25.00 |
C. Buy Decorations | A | 8 | 6 | $ | 35.00 |
D. Plan Menu | A | 3 | 2 | $ | 60.00 |
E. Purchase Food | D | 4 | 2 | $ | 37.50 |
F. Prepare Food | E | 5 | 3 | $ | 125.00 |
If Annie has already crashed task A to its minimum duration, what is the next task she should crash?
A. A
B. C
C. E
D. F
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 2 Medium
Topic: Project Crashing: Making Time-Cost Trade-Offs
6. Annie is planning a large surprise party for her sister Gwendolyn. She has developed the following plan, including estimates of the time (in hours) and cost necessary to perform each of the tasks required.
Task | Immediate Predecessor | Planned Duration | Minimum Duration | Crash Cost | |
A. Create Guest List | -- | 8 | 4 | $ | 27.50 |
B. Send Invitations | A | 2 | 1 | $ | 25.00 |
C. Buy Decorations | A | 8 | 6 | $ | 35.00 |
D. Plan Menu | A | 3 | 2 | $ | 60.00 |
E. Purchase Food | D | 4 | 2 | $ | 37.50 |
F. Prepare Food | E | 5 | 3 | $ | 125.00 |
If Annie saves $40 for every hour she can reduce from her plan, what is her total net benefit from crashing this project by six hours?
A. $55
B. $185
C. $160
D. $240
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 3 Hard
Topic: Project Crashing: Making Time-Cost Trade-Offs
7.
Task | Immediate Predecessor | Planned Duration | Minimum Duration | Crash Cost per Hour | ||
A | -- | 10 | 8 | $ | 250 |
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B | A | 16 | 4 | $ | 400 |
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C | A | 12 | 9 | $ | 100 |
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D | B,C | 17 | 16 | $ | 300 |
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E | B | 14 | 13 | $ | 300 |
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F | D,E | 6 | 2 | $ | 350 |
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Identify the critical path to completion for the project plan.
A. A, C, D, F is 45 hours.
B. A, B, C, D, E, F is not a path.
C. A, B, E, F is 46 hours.
D. A, B, D, F is 49 hours
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 3 Hard
Topic: Project Crashing: Making Time-Cost Trade-Offs
8.
Task | Immediate Predecessor | Planned Duration | Minimum Duration | Crash Cost per Hour | ||
A | -- | 10 | 8 | $ | 250 |
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B | A | 16 | 4 | $ | 400 |
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C | A | 12 | 9 | $ | 100 |
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D | B,C | 17 | 16 | $ | 300 |
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E | B | 14 | 13 | $ | 300 |
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F | D,E | 6 | 2 | $ | 350 |
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If there is a desire to crash the project, which task should be crashed first?
A. A
B. B
C. D
D. F
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 2 Medium
Topic: Project Crashing: Making Time-Cost Trade-Offs
9.
Task | Immediate Predecessor | Planned Duration | Minimum Duration | Crash Cost per Hour | ||
A | - - | 10 | 8 | $ | 250 |
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B | A | 16 | 4 | $ | 400 |
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C | A | 12 | 9 | $ | 100 |
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D | B,C | 17 | 16 | $ | 300 |
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E | B | 14 | 13 | $ | 300 |
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F | D,E | 6 | 2 | $ | 350 |
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If the project is crashed so that all work can be completed in 45 hours, what is the total crash cost?
A. $650
B. $950
C. $1,150
D. $1,450
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 3 Hard
Topic: Project Crashing: Making Time-Cost Trade-Offs
10. A project manager has discovered that three tasks are on the critical path for a particular project. She has developed the time estimates (in days) shown in the table below. Complete the table and determine the expected completion time for the project.
Task | Best Case | Most Likely | Worst Case | Expected Duration | Standard Deviation | Standard Deviation Squared |
A | 5 | 8 | 14 |
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B | 2 | 4 | 9 |
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C | 3 | 5 | 7 |
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A. 17 days
B. 18 days
C. 21 days
D. 19 days
Task | Best Case | Most Likely | Worst Case | Expected Duration | Standard Deviation | Standard Deviation Squared |
A | 5 | 8 | 14 | (5 + 8 × 4 + 14)/6 = 8.5 | (14 − 5)/6 = 1.5 | 2.25 |
B | 2 | 4 | 9 | 4.5 | 1.167 | 1.36 |
C | 3 | 5 | 7 | 5.0 | .667 | .444 |
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 1 Easy
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
11. A project manager has discovered that three tasks are on the critical path for a particular project. She has developed the time estimates (in days) shown in the table below. Complete the table and determine the probability that the project will be completed in 20 days or less.
Task | Best Case | Most Likely | Worst Case | Expected Duration | Standard Deviation | Standard Deviation Squared |
A | 5 | 8 | 14 |
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B | 2 | 4 | 9 |
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C | 3 | 5 | 7 |
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A. Approximately 92 percent
B. Approximately 88 percent
C. Approximately 75 percent
D. Approximately 84 percent
Task | Best Case | Most Likely | Worst Case | Expected Duration | Standard Deviation | Standard Deviation Squared |
A | 5 | 8 | 14 | (5 + 8 × 4 + 14)/6 = 8.5 | (14 − 5)/6 = 1.5 | 2.25 |
B | 2 | 4 | 9 | 4.5 | 1.167 | 1.36 |
C | 3 | 5 | 7 | 5.0 | .667 | .444 |
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
12. A project manager has discovered that three tasks are on the critical path for a particular project. She has developed the time estimates (in days) shown in the table below.
Task | Best Case | Most Likely | Worst Case | Expected Duration | Standard Deviation | Standard Deviation Squared |
A | 5 | 8 | 14 |
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B | 2 | 4 | 9 |
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C | 3 | 5 | 7 |
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The customer has offered a $10,000 bonus if the project is completed within 14 days. What is the probability that the bonus will be earned?
A. Approximately 85 percent
B. Approximately 5 percent
C. Approximately 2.3 percent
D. Approximately 97.7 percent
Task | Best Case | Most Likely | Worst Case | Expected Duration | Standard Deviation | Standard Deviation Squared |
A | 5 | 8 | 14 | (5 + 8 × 4 + 14)/6 = 8.5 | (14 − 5)/6 = 1.5 | 2.25 |
B | 2 | 4 | 9 | 4.5 | 1.167 | 1.36 |
C | 3 | 5 | 7 | 5.0 | .667 | .444 |
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
13. A simple sequential project (each task must be completed before the next one can begin) has the time estimates (in days) shown below:
Task | Best Case | Most Likely | Worst Case | Expected Duration | Standard Deviation | Standard Deviation Squared |
A | 2 | 3 | 4 |
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B | 1 | 1.5 | 2 |
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C | .5 | 1 | 1.5 |
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D | 1.5 | 2 | 2.5 |
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E | .5 | 1 | 1.5 |
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F | .4 | .5 | .6 |
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What is the expected total time for the project?
A. 7.33 days
B. 9.00 days
C. 10 days
D. 12.67 days
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 2 Medium
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
14. A simple sequential project (each task must be completed before the next one can begin) has the time estimates (in days) shown below:
Task | Best Case | Most Likely | Worst Case | Expected Duration | Standard Deviation | Standard Deviation Squared |
A | 2 | 3 | 4 |
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B | 1 | 1.5 | 2 |
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C | .5 | 1 | 1.5 |
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D | 1.5 | 2 | 2.5 |
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E | .5 | 1 | 1.5 |
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F | .4 | .5 | .6 |
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What is the likelihood the project will be completed in 10 days?
A. Between 88 and 88 percent
B. Between 89 and 92 percent
C. Between 93 and 97 percent
D. Between 98 and 100 percent
Activity | Predecessor | Best Case | Most Likely | Worst Case | Expected Duration | Standard Deviation | Standard Deviation Squared |
A | - | 2 | 3 | 4 | 3 | .33 | .1089 |
B | A | 1 | 1.5 | 2 | 1.5 | .17 | .0289 |
C | B | .5 | 1 | 1.5 | 1 | .17 | .0289 |
D | C | 1.5 | 2 | 2.5 | 2 | .17 | .0289 |
E | D | .5 | 1 | 1.5 | 1 | .17 | .0289 |
F | E | .4 | .5 | .6 | .5 | .03 | .0011 |
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
15. A simple sequential project (each task must be completed before the next one can begin) has the time estimates (in days) shown below:
Task | Best Case | Most Likely | Worst Case | Expected Duration | Standard Deviation | Standard Deviation Squared |
A | 2 | 3 | 4 |
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B | 1 | 1.5 | 2 |
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C | .5 | 1 | 1.5 |
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D | 1.5 | 2 | 2.5 |
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E | .5 | 1 | 1.5 |
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F | .4 | .5 | .6 |
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What is the probability that the project will be completed within 8.5 days? (Choose the closest answer.)rev: 08_07_2017_QC_CS-95018
A. 80 percent
B. 15 percent
C. 75 percent
D. 5 percent
Activity | Predecessor | Best Case | Most Likely | Worst Case | Expected Duration | Standard Deviation | Standard Deviation Squared |
A | - | 2 | 3 | 4 | 3 | .33 | .1089 |
B | A | 1 | 1.5 | 2 | 1.5 | .17 | .0289 |
C | B | .5 | 1 | 1.5 | 1 | .17 | .0289 |
D | C | 1.5 | 2 | 2.5 | 2 | .17 | .0289 |
E | D | .5 | 1 | 1.5 | 1 | .17 | .0289 |
F | E | .4 | .5 | .6 | .5 | .03 | .0011 |
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
16. Which of the following statements best describes "crash cost"?
A. Estimated cost to reduce a project task duration by one time unit.
B. Estimated cost to reduce a project duration by one time unit.
C. Estimated cost to reduce the project schedule by one time unit.
D. Actual cost to reduce a project duration by one time unit.
E. Actual cost to change a project schedule.
AACSB: Reflective Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 1 Easy
Topic: Project Crashing: Making Time-Cost Trade-Offs
17. Given the tasks, estimated durations, and crash costs shown below, what is the total cost of the steps needed to provide the cheapest way to reduce the project length by three days?
Task | Predecessors | Estimated duration (days) | Crash cost | Number of days task can be crashed | ||
A | none | 2 | $ | 1000 |
| 2 |
B | A | 3 | $ | 400 |
| 1 |
C | A | 3 | $ | 300 |
| 2 |
D | B,C | 4 | $ | 800 |
| 1 |
E | D | 3 | Cannot be crashed | 0 | ||
A. $2,800
B. $2,500
C. $1,100
D. $2,300
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 2 Medium
Topic: Project Crashing: Making Time-Cost Trade-Offs
18. Given the tasks, estimated durations, and crash costs shown below, if the benefit to crash the project by each day is a maximum of $750, how many days would it be worthwhile to crash the project?
Task | Predecessors | Estimated duration (days) | Crash cost | Number of days task can be crashed | ||
A | none | 2 | $ | 1000 |
| 2 |
B | A | 3 | $ | 400 |
| 1 |
C | A | 3 | $ | 300 |
| 2 |
D | B,C | 4 | $ | 800 |
| 1 |
E | D | 3 | Cannot be crashed | 0 | ||
A. 0
B. 1
C. 2
D. 3
E. 4
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 2 Medium
Topic: Project Crashing: Making Time-Cost Trade-Offs
19. Which of the following statements is true regarding crash costs?
A. Crash costs tend to increase with each additional day of crashing.
B. Crash costs tend to decrease with each additional day of crashing.
C. It is usually cheaper to crash tasks that are not on the critical path.
D. Additional crash costs are rarely justified in practice.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Accessibility: Screen Reader Compatible
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 3 Hard
Topic: Project Crashing: Making Time-Cost Trade-Offs
20. An estimate of the duration of a task that is based on a weighted average of a range of possible task durations is known as:
A. Most likely duration.
B. Expected duration.
C. Worst-case duration.
D. Probabilistic duration.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Accessibility: Screen Reader Compatible
Blooms: Remember
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 1 Easy
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
21. Task X has a best-case duration of 4 days, a worst-case duration of 10 days, and a most likely duration of 6 days. Using this information, we can estimate a 50 percent probability that the task will be completed in no more than how many days?
A. 6.0 days
B. 3.3 days
C. 10.0 days
D. 6.3 days
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Accessibility: Screen Reader Compatible
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 2 Medium
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
22. Given the project data below, what is the expected length of path A, B, C?
Task | Predecessors | Best Case | Most Likely case | Worst Case |
A | None | 2 | 4 | 6 |
B | A | 1 | 4 | 5 |
C | B | .5 | 1 | 6 |
A. 9.0
B. 9.8
C. 9.4
D. 17
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 2 Medium
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
23. Given the project data below, what is the standard deviation of durations for path A, B, C?
Task | Predecessors | Best Case | Most Likely case | Worst Case |
A | None | 2 | 4 | 6 |
B | A | 1 | 4 | 5 |
C | B | .5 | 1 | 6 |
A. 1.3
B. 2.3
C. 1.7
D. None of the choices are correct
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
24. If a project path has an expected duration of 10 days and a standard deviation of three days, what is the probability that the path will be completed in 10 days or less?
A. 0 percent
B. 33 percent
C. 50 percent
D. 75 percent
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Accessibility: Screen Reader Compatible
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
25. If a project path has an expected duration of 10 days and a standard deviation of three days, what is the probability that the path will be completed in 13 days or less?
A. 50 percent
B. 33 percent
C. 75 percent
D. 84 percent
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Accessibility: Screen Reader Compatible
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
26. Given the project plan shown below, for each task assume that the best-case duration is 80 percent of the most likely duration, and the worst-case duration is 150 percent of the most likely duration. What is the expected completion time for the critical path?
Task ID | Immediate Predecessors | Most Likely duration (days) |
A | - | 4 |
B | - | 5 |
C | - | 6 |
D | A,B,C | 5 |
E | D | 7 |
F | D | 4 |
G | E,F | 3 |
A. 34 days
B. 21.0 days
C. 35.7 days
D. 22.1 days
| a = .8m | m | b = 1.5m | (a + 4m + b)/6 |
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| Best case | Most likely | Worst case | Expected | Critical path |
A | 3.2 | 4 | 6 | 4.2 |
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B | 4 | 5 | 7.5 | 5.25 |
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C | 4.8 | 6 | 9 | 6.3 | 6.3 |
D | 4 | 5 | 7.5 | 5.25 | 5.25 |
E | 5.6 | 7 | 10.5 | 7.35 | 7.35 |
F | 3.2 | 4 | 6 | 4.2 |
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G | 2.4 | 3 | 4.5 | 3.15 | 3.15 |
| Total duration | 35.7 | 22.05 | ||
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
27. The four tasks below must be completed in order (a single path of tasks). Given the task information, what is the probability that the path of tasks will be completed in 20 days or less?
Task number | Expected duration (days) | Standard deviation of duration (days) |
1 | 5 | 2 |
2 | 3 | 1 |
3 | 4 | 2 |
4 | 5 | 3 |
A. 34 percent
B. 56.4 percent
C. 50 percent
D. 76.0 percent
Task number | Expected duration (days) | Standard deviation of duration (days) | Variance = std dev2 |
1 | 5 | 2 | 4 |
2 | 3 | 1 | 1 |
3 | 4 | 2 | 4 |
4 | 5 | 3 | 9 |
Total | 17 | 4.24 | 18 |
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
28. Given the project plan shown below, which task has the largest standard deviation (uncertainty) relative to its expected duration (standard deviation divided by expected duration)?
Task ID | Immediate Predecessors | Most likely duration (days) | Best-case duration (days) | Worst-case duration (days) |
A | - | 4 | 3 | 7 |
B | - | 5 | 2 | 8 |
C | - | 6 | 6 | 9 |
D | A,B,C | 5 | 3 | 8 |
E | D | 7 | 6 | 9 |
F | D | 4 | 2 | 5 |
G | E,F | 3 | 2 | 4 |
A. Task A
B. Task B
C. Task D
D. Task G
Task ID | Immediate Predecessors | Most likely duration (days) | Best-case duration (days) | Worst-case duration (days) | Expected | Std dev (b − a)/6 | Std Dev/expected |
A | - | 4 | 3 | 7 | 4.33 | 0.67 | 0.154 |
B | - | 5 | 2 | 8 | 5 | 1 | 0.2 |
C | - | 6 | 6 | 9 | 6.5 | 0.5 | 0.077 |
D | A,B,C | 5 | 3 | 8 | 5.17 | 0.83 | 0.161 |
E | D | 7 | 6 | 9 | 7.17 | 0.5 | 0.07 |
F | D | 4 | 2 | 5 | 3.83 | 0.5 | 0.13 |
G | E,F | 3 | 2 | 4 | 3 | 0.33 | 0.111 |
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
29. Task X has a most likely duration of 10 days, a best-case duration of 8 days, and a worst-case duration of 15 days. What is the probability that it will be completed in 12 days or less?
A. 0 percent
B. 95.7 percent
C. 90.1 percent
D. 75.3 percent
Most likely duration (days) | Best-case duration (days) | Worst-case duration (days) | Expected | Std dev (b − a)/6 |
10 | 8 | 15 | 10.50 | 1.17 |
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
30. Task X has a most likely duration of 10 days, a best-case duration of 8 days, and a worst-case duration of 15 days. What is the probability that it will be completed in 10 days or less?
A. 0 percent
B. 50.0 percent
C. 33.4 percent
D. 83.4 percent
Most likely duration (days) | Best-case duration (days) | Worst-case duration (days) | Expected | S= (12 −– 10.5)/1.17 = 1.29; from Z table, probability is 90.07% percenttd dev (b − a)/6 |
10 | 8 | 15 | 10.50 | 1.17 |
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
31. Task X has an 82 percent probability that it will be completed in 20 days or less. The standard deviation of its duration is five days. What is its expected duration?
A. 15.4 days
B. 15.9 days
C. 19.1 days
D. 12.3 days
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Accessibility: Screen Reader Compatible
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 3 Hard
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
32. Given the tasks, estimated durations, and crash costs shown below, which task would you crash first?
Task | Predecessors | Estimated duration (days) | Crash cost per day | |
A | - | 1 | $ | 1,000 |
B | A | 5 | $ | 500 |
C | A | 3 | $ | 200 |
D | B, C | 2 | $ | 800 |
E | D | 7 | $ | 700 |
A. Task A
B. Task B
C. Task C
D. Task D
E. Task E
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 2 Medium
Topic: Project Crashing: Making Time-Cost Trade-Offs
33. Given the tasks, estimated durations, and crash costs shown below, which task would you crash last in order to minimize the project length?
Task | Predecessors | Estimated duration (days) | Crash cost per day | Number of days task can be crashed | |
A | - | 1 | $ | 1,000 | 1 |
B | A | 5 | $ | 500 | 1 |
C | A | 3 | $ | 1,200 | 2 |
D | B, C | 2 | $ | 800 | 1 |
E | D | 7 | $ | 700 | 1 |
A. Task A
B. Task B
C. Task C
D. Task D
E. Task E
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 1 Easy
Topic: Project Crashing: Making Time-Cost Trade-Offs
34. Given the tasks, estimated durations, and crash costs shown below, what would be the minimum cost to reduce the project by one day?
Task | Predecessors | Estimated duration (days) | Crash cost per day | Number of days task can be crashed | |
A | - | 1 | $ | 1,000 | 2 |
B | A | 5 | $ | 500 | 1 |
C | A | 5 | $ | 200 | 2 |
D | B, C | 2 | $ | 900 | 1 |
E | D | 7 | $ | 800 | 1 |
A. $200
B. $500
C. $700
D. $800
E. $1,000
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Gradable: automatic
Learning Objective: 15S-01 Make time and cost trade-offs in projects.
Level of Difficulty: 3 Hard
Topic: Project Crashing: Making Time-Cost Trade-Offs
35. For a project with many task paths of nearly equal lengths, the best way to estimate the probabilities associated with project completion is:
A. Estimate the probability for the critical path
B. Multiply the probabilities of all paths
C. Use simulation to model the project
D. Calculate the joint probability of project completion
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Accessibility: Screen Reader Compatible
Blooms: Remember
Gradable: automatic
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates.
Level of Difficulty: 1 Easy
Topic: Scheduling a Project with Probabilistic Task Duration Estimates
Chapter 15S Test Bank - Static Summary
Category | # of Questions |
AACSB: Analytical Thinking | 32 |
AACSB: Reflective Thinking | 3 |
Accessibility: Keyboard Navigation | 35 |
Accessibility: Screen Reader Compatible | 8 |
Blooms: Analyze | 28 |
Blooms: Remember | 4 |
Blooms: Understand | 3 |
Gradable: automatic | 35 |
Learning Objective: 15S-01 Make time and cost trade-offs in projects. | 16 |
Learning Objective: 15S-02 Schedule projects using probabilistic task time estimates. | 19 |
Level of Difficulty: 1 Easy | 6 |
Level of Difficulty: 2 Medium | 10 |
Level of Difficulty: 3 Hard | 19 |
Topic: Project Crashing: Making Time-Cost Trade-Offs | 16 |
Topic: Scheduling a Project with Probabilistic Task Duration Estimates | 19 |
Document Information
Connected Book
Managing Operations Supply Chain 4e Complete Test Bank
By Morgan Swink