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Problem regarding the project network and activity times

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Reference no: EM13837052

Problem 1: Consider the following project network and activity times (in days):

1327_project network and activity.jpg

Activity

A

B

C

D

E

F

G

Time                                      1

3

2

5

5

6

2

2

The crashing data for this project are as follows:

 

Times  (days)

Cost ($)

Activity

Normal

Crash

Normal

Crash

A

3

2

800

1400

13

2

1

1200

1900

C

5

3

2000

2800

D

5

3

1500

2300

E

6

4

1800

2800

F

2

1

600

1000

G

2

1

500

1000

a. Find the critical path and the expected project completion time.

b What is the total project cost using the normal times?

Problem 2: Refer to Problem 1. Assume that management desires a 12-day project completion time. Formulate a linear programming model that can be used to assist with the crashing decisions.

b. What activities should be crashed?

c. What is the total project cost for the 12-day completion time?

Problem 3: Office Automation, Inc., developed a proposal for introducing a new computerized office system that will standardize the electronic archiving of invoices for a particular company. Contained in the proposal is a list of activities that must be accomplished to complete the new office system project. Use the following relevant information about the activities:

 

 

Immediate

Time (weeks)

Cost ($1000s)

Activity

Description

Predecessor

Normal

Crash

Normal

Crash

A

Plan needs

-

10

8

30

70

B

Order equipment

A

8

6

120

150

C

Install equipment

B

10

7

100

160

D

Set up training lab

A

7

6

40

50

E

Conduct training course

D

10

8

50

75

F

Test system

C, E

3

3

60

-

a. Develop a project network.

b. Develop an activity schedule.

c. What are the critical activities, and what is the expected project completion time?

d. Assume that the company wants to complete the project in six months or 26 weeks. What crashing decisions do you recommend to meet the desired completion time at the least possible cost? Work through the network and attempt to make the crashing decisions by inspection.

e. Develop an activity schedule for the crashed project.

f.  What added project cost is required to meet the six-month completion time?

Reference no: EM13837052

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