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Chapter 1: Question 5OQ-b (page 100)

The following activities are part of a project to be scheduled using CPM:

Activity

Immediate Predecessor

Time (Weeks)

A

_

6

B

A

3

C

A

7

D

C

2

E

B,D

4

F

D

3

G

E,F

7

Short Answer

Expert verified

The critical path technique, also known as critical route analysis, is a timing strategy for a collection of project tasks. It is frequently used in tandem with the program evaluation as well as reviewing approach.

Step by step solution

01

Critical Path

In managing projects, a Critical path is the biggest series of operations that should be completed on schedule for the whole project to be completed. Any delays in important activities will cause the remainder of the project to be delayed. The critical route was designed to predict work length as well as assist each of these behind-schedule initiatives in getting back on schedule. The critical path technique is utilized to determine the most crucial activities as well as keep the project on track.

02

Overall time of every path

Calculate theoverall timeof every path is given below

Path

Overall time

A-B-E-G

6+3+4+7=20

A-C-D-E-G

6+7+2+4+7=26

A-C-D-F-G

6+7+2+3+7=25

The Critical path A-C-D-E-G contains the biggest period of 26 weeks. It would be recognized as the project's key route.

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Most popular questions from this chapter

Question: Here is a network withthe activity times shown in days:


a. Find the critical path.

b. The following table shows the normal times and the crash times, along with the associated costs for each activity.


If the project is to be shortened by four days, show which activities, in order of reduction, would be shortened and the resulting cost.

What do you think might be some barriers to the successful, effective use of the project management software packages discussed in the chapter?

Assume the network and data that follow:

Activity

Normal Time(Weeks)

Normal Cost

Crash Time(weeks)

Crash cost

Immediate Processors

A

2

\(50

1

\)70

-

B

4

80

2

160

A

C

8

70

4

110

A

D

6

60

5

80

A

E

7

100

6

130

B

F

4

40

3

100

D

G

5

100

4

150

C,E,F

a. Construct the network diagram.

b. Indicate the critical path when normal activity times are used.

c. Compute the minimum total direct cost for each project duration based on the cost associated with each activity. Consider the duration of 13, 14, 15, 16, 17, and 18 weeks.

d. If the indirect costs for each project duration are \(400 (18 weeks), \)350 (17 weeks), \(300 (16 weeks), \)250 (15 weeks), \(200 (14 weeks), and \)150 (13 weeks), what is the total project cost for each duration? Indicate the minimum total project cost duration.

There is an 82 percent chance the project below can be completed in X weeks or less. What is X?

Question: Sail master makes high-performance sails for competitive windsurfers. Below is information about the inputs and outputs for one model, the Windy 2000.

Calculate the productivity in sales revenue/labor expense.

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