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Problems 3.8, 3.10, 3.11, 3.12, and 3.23
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Problems 3.8, 3.10, 3.11, 3.12, and 3.23

 

3.8 Roger Ginde is developing a program in supply chain management certification for managers. Ginde has listed a number of activities that must be completed before a training program of this nature could be conducted. The activities, immediate predecessors, and times appear in the accompanying table:

Activity

Immediate Predecessor (S)

Time (Days)

A

-

2

B

-

5

C

-

1

D

B

10

E

A,D

3

F

C

6

G

E,F

8

  1. Develop an AON network for this problem.
  2. What is the critical path?
  3. What is the total project completion time?
  4. What is the slack time for each individual activity?

 

3.10 The activities described by the following table are given for the Howard Corporation in Kansas:

Activity

Immediate Predecessor (S)

Time

A

-

9

B

A

7

C

A

3

D

B

6

E

B

9

F

C

4

G

E,F

6

H

D

5

I

G,H

3

  1. Draw the appropriate AON PERT diagram for J.C. Howard’s management team.
  2. Find the critical path.
  3. What is the project completion time?

 

 

3.11 The following is a table of activities associated with a project at Rafay Ishfaq’s software firm in Chicago, their durations, and what activities each must precede:

Activity

Duration (Weeks)

Precedes

A (start)

1

B,C

B

1

E

C

4

F

E

2

F

F (end)

2

-

 

  1. Draw an AON diagram of the project, including activity ­durations.
  2. Define the critical path, listing all critical activities in chronological order.
  3. What is the project duration (in weeks)?
  4. What is the slack (in weeks) associated with any and all noncritical paths through the project?

 

3.12 The activities needed to build a prototype laser scanning machine at Dave Fletcher Corp. are listed in the following table. Construct an AON network for these activities.

Activity

Immediate Predecessor (S)

Activity

Immediate Predecessor (S)

A

-

E

B

B

-

F

B

C

A

G

C,E

D

A

H

D,F

 

3.23 Using PERT, Adam Munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4.

  1. What is the probability that the project will be completed in 17 months?
  2. What is the probability that the project will be completed in 20 months?
  3. What is the probability that the project will be completed in 23 months?
  4. What is the probability that the project will be completed in 25 months?
  5. What is the due date that yields a 95% chance of completion?

 

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