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The following is the activity list for a project: Activity Predecessor Normal duration (weeks) Crash duration (weeks) Normal cost Crash cost A -- 3 2

The following is the activity list for a project:

Activity

Predecessor

Normal duration

(weeks)

Crash duration

(weeks)

Normal cost

Crash cost

A

--

3

2

$12,000

$24,000

B

A

5

4

$20,000

$22,000

C

A

4

3

$16,000

$20,000

D

B

6

4

$24,000

$28,000

E

B

5

4

$20,000

$24,000

F

C

7

6

$28,000

$38,000

G

D

3

2

$14,000

$20,000

H

E,F

4

3

$18,000

$30,000

  1. Draw an activity on node (AON) diagram to represent the project.

  1. Apply the critical path method and determine the following using the normal durations of the activities:

  1. The project duration,

  1. The earliest start and finish time of each activity,

  1. The latest start and finish time of each activity,

  1. The slack of each activity,

  1. The critical path(s).

  1. Which activity or activities should be crashed and in which sequence to reduce the project duration by 2 weeks?

  1. What is the resulting total project cost?

  1. What is (are) the critical path(s) of the project after crashing?

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