Find critical path and minimum time for project completion


Eight maintenance activities, their normal durations in weeks, and the crew sizes for the normal condition are as follows:

Activity

Duration in weeks

Crew size

AC

6

8

BC

6

7

BE

2

6

CD

3

2

CE

4

1

DF

7

4

EF

4

6

FG

5

10

(a) Represent the maintenance project in the form of an activity-event network.

(b) Identify the critical path and find the minimum time for project completion.

(c) Extra crew members can be used to expedite activities BC, CE, DF, and EF at a cost given below:

Extra Crew

Weeks Saved

Crash Cost per Week ($)

1

1

100

2

2

120

3

2

200

4

3

250

If there is a penalty cost of $1,250 per week beyond the minimum maintenance time of 17 weeks, recommend the minimum-cost schedule.

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Mechanical Engineering: Find critical path and minimum time for project completion
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