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An operations manager has just finished the reviewing of the latest draft of an upcoming project. The following table provides information about the normal time for each activity, activity sequence and information about costs to shorten some of the activities. He is concerned about the project duration and expects the owners will want the project shortened. For each activity, the maximal number of weeks available for crashing is two weeks. Each activity in the 1st column precedes the corresponding activity/activities in the 2nd column.
Activity
Precedes
Normal
Crashing
Costs (in $)
Time (wk)
First Week
Second Week
Start
a, b
0
-
a
c
3
11
14
b
d
7
15
16
5
12
13
e, f
6
20
22
e
g
4
f
h
10
End
8
9
a. Identify the current project duration assuming the project isn't shortened?
b. The operations manager thinks the owners may ask him to shorten the project by up to four weeks. Therefore, prepare the lowest cost crashing plan that will reduce the project duration by four weeks.
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