# Project #13969 - Operation Management Projects

Problem 1: Consider the following data for a project:

Activity                 Activity Time (days)                        Immediate Predecessor(s)

A                             2                                                                              ---

B                             4                                                                              A

C                             5                                                                              A

D                             2                                                                              B

E                              1                                                                              B

F                              8                                                                              B,C

G                             3                                                                              D,E

H                             5                                                                              F

I                               4                                                                              F

J                              7                                                                              G,H,I

1.A.- Draw the network diagram.

1.B.-Calculate the critical path for this project.

Problem 2. The following information is known about a project.

Activity                 Activity Time (days)                        Immediate Predecessor(s)

A                             7                                                                              ---

B                             2                                                                              A

C                             4                                                                              A

D                             4                                                                              B,C

E                              4                                                                              D

F                              3                                                                              E

G                             5                                                                              E

2.A.-Draw the network diagram for this project.

2.B.-Determine the critical path and project duration.

2.C.-Calculate the slack for each activity.

Problem 3: A project for improving a billing process has the following precedence relationships and activity times:

Activity                                 Activity time(Weeks)                     immediate Predecessor(s)

A                                                             3                                                              --

B                                                             11                                                           --

C                                                             7                                                              A

D                                                             13                                                           B,C

E                                                              10                                                           B

F                                                              6                                                              D

G                                                             5                                                              E

H                                                             8                                                              F,G

3.A: Draw the network diagram

3.B.:Calculate the clack for each activity. Which activities are on the critical path?

Problem 4: The following information is available about a project:

Activity                                 Activity time (days)                                         Immediate Predecessor(s)

A                                                             3                                                                              ---

B                                                             4                                                                              ---

C                                                             5                                                                              ----

D                                                             4                                                                              ----

E                                                              7                                                                              A

F                                                              2                                                                              B,C,D

G                                                             4                                                                              E,F

H                                                             6                                                                              F

I                                                               4                                                                              G

J                                                              3                                                                              G

K                                                             3                                                                              H

4.A.: Draw the network diagram

4.B.: Find the critical path.

Problem 21The project manager of Good Public Relations fathered the data shown for a new advertising campaign.

Activity                                 Optimistic                            Most Likely                         Pessimistic          Immediate

Predecessor(s)

A                                             8                                              10                                           12                                           Start

B                                             5                                              8                                              17                                           Start

C                                             7                                              8                                              9                                              Start

D                                             1                                              2                                              3                                              B

E                                              8                                              10                                           12                                           A,C

F                                              5                                              6                                              7                                              D,E

G                                             1                                              3                                              5                                              D,E

H                                             2                                              5                                              8                                              F,G

I                                               2                                              4                                              6                                              G

J                                              4                                              5                                              8                                              H

K                                             2                                              2                                              2                                              H

21.A.: how long Is the project likely to take?

21.B.: What is the probability that the project will take more than 38 weeks?

21.C.: Consider the path A-E-G-H-J. What is the probability that this path will exceed 38 Weeks?

 Subject Mathematics Due By (Pacific Time) 10/06/2013 05:00 pm
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