24 math questions

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Unit 7 : Week 7 - Quiz 7

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1.

PERT and CPM are qualitative analysis tools designed to schedule and control large projects,

(Points: 1)

O True O False

2. The first step in planning and scheduling a project is to develop PERT/CPM Chart, (Points : 1)

O True O False

3.

CPM is a probabilistic analysis for managing a project and PERT is a deterministic analysis tool for managing a project

(Points: 1)

O True

O False

4. The optimistic time is the greatest amount of time that could be required to complete an activity. (Points

O True O False

5. The expected completion time and variance of an activity is approximated by the normal distribution in a

O True O False

6, In PERT, the earliest start time for an activity is equal to the latest of the earliest finish times of all of its ir

O True O False

7. One of the most significant benefits of PERT is that it forces the project manager to sit down and plan the

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HE 1811)

O True O False

8. Slack is the time an activity cannot be delayed without impacting the completion time of the project. (Poi

O True O False

9. Gantt charts contain information about the time taken by each activity, but not about the sequential dep<

O True O False

10. In CPM, crashing an activity that is not on the critical path increases the cost of the project. (Points : 1)

O True O False

11.

The work breakdown structure involves identifying the for each activity.

A) time

B) cost

C) resource requirements

D) predecessors

E) All of the above

(Points: 1)

O A O B O c O D O E

12.

The critical path of a network is the

A) shortest time path through the network.

B) path with the fewest activities.

C) path with the most activities.

D) longest time path through the network.

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E) None of the above

(Points: 1)

O A

O B O c O D O E

13.

The first step in planning and scheduling a project is to develop the

A) employee scheduling plan

B) PERT/CPM network diagram

C) critical path

D) work breakdown structure

E) variance calculations for each activity

(Points: 1)

O A O B

O c O D O E

14.

PERT

A) assumes that we do not know ahead of time what activities must be completed.

B) assumes that activity time estimates follow the normal probability distribution.

C) is a network technique that uses three time estimates for each activity in a project.

D) is a deterministic network technique that allows for project crashing.

E) None of the above

(Points: 1)

O A O B O c O D O E

15.

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Given an activity's optimistic, most likely, and pessimistic time estimates of 4, 6, and 14 days respectively, comp

A) 8

B)6

C)7

D)9

E) None of the above

O A O B O c O D O E

16.

The project described by:

Activity A B C D E

Immediate

Predecessor - A A B C

Time

(days) 10 4 6 7 5

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is best represented by which of the following networks?

A)

Start th,w A

Start itw A

E) None of the above

(Points: 1)

O A

O B

E ,

fc.* Finish

Finish

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00 O D

17.

Consider a project that has an expected completion time of 60 weeks and a standard deviation of five weeks. \) 0.98

B) 0.48

C) 0.50

D) 0.02

E) 0.63

(Points: 1)

O A

O B O c O D O E

18.

The following represents a project with know activity times. All times are in weeks.

Activity A B C D E F

Immediate

Predecessor - - A B

C, D B

Time 4 3 2 7 4 5

A. What is the minimum possible time required for completing the project? B. What is the latest possible time that C may be started without delaying completion of the project? C. What is the slack time for activity D?

(Points: 3)

Potential Matches: 1 : 13

2 : 8

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3:10 4 : 2 5

5 : 5 6 : 4 7 : 3 8 : 0 9: 14

Answer

19. Your company is considering submitting a bid on a major project. You determine that the expected completion time is 100 weeks and the standard deviation is 10 weeks. It is assumed that the normal distribution applies. You wish to set the due date for the project such that there is an 92.5 percent chance that the project will be finished by this time. What due date should be set (what week number should the project be finished by? (Round to nearest tenth for example 100.8 or 93.5 etc.) (Points : 2)

20.

Activity A B C D E

Immediate

Predecessor -- - A A

B,C

Optimistic 4 12 2 5 6

Most

Likely 5 16 8 5 7

Pessimistic 6 18 14 5 8

Standard

Deviation 0.333 1.000 2.000 0.000 0.333

Variance 0.111 1.000 4.000 0.000 0.111

A. According to the Table above, there are five activities in a PERT project. Which activities are on the critical path? (2 points)

B. What is the variance of the critical path? (2)

C. If the normal distribution were used to find the probability of finishing this project in 24 weeks or fewer, what mean and standard deviation would be used? (4) (Points : 8)

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21.

Development of a new deluxe version of a particular software product is being considered. The activities necessary for the completion of this are listed in the table below (Time in weeks).

Activity A B C D E F G

Normal

Time 4 2 3 8 6 3 4

Crash

Time 3 1 3 4 3 2 2

Normal

Cost 2200 2200 500

2300 900 3000 1400

Crash

Cost 2600 2800 500 2600 1200 4200 2000

Immediate

Predecessor ~ - — A B C

D, E

(a) What is the project completion date?( 2 points)

(b) What is the total cost required for completing this project on normal time?( 2 points)

(c) If you wish to reduce the time required to complete this project by one week, which activity should be crashed, and how much will this increase the total cost? (2 points)

(Points : 6)

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22. What are the major differences between PERT and CPM? (Points : 4)

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