You are doing a software system install for a client. The contract states that y
ID: 387483 • Letter: Y
Question
You are doing a software system install for a client. The contract states that you will have the system installed as well as have the users trained in 17 days. There is a pentalty of $300.00 per day beyond the 17 days. Below is the critical path data:
Conduct a crashing analysis to help determine the best choice of delivery.
Activity
Duration
Predecessor
A get import license
10 days
None
B shipping
8 days *
A
C train users in method
16 days
None
D train on system
2 days
B,C
You have options (*) for shipping (activity B):
Slow boat
8 days
$100
Fast boat
7 days
$200
Bush airplane
5 days
$400
Normal airplane
3 days
$600
Chartered plane
1 day
$900
Activity
Duration
Predecessor
A get import license
10 days
None
B shipping
8 days *
A
C train users in method
16 days
None
D train on system
2 days
B,C
Explanation / Answer
The Precedence diagram of activities as follows :
A
C
B
D
As per information provided :
Current duration of activities A-B-D = 10 + 8 + 2 = 20 days
Current duration of C-D = 18 days
Therefore, critical path will b A-B-D which has the longer duration.
Since there is no extra information provided for activities C and D especially regarding possibilities of crashing these activities , we assume that C and D cannot be crashed .
Therefore , minimum project duration can be 18 days , in which case one needs to pay a penalty of $300 for exceeding the project duration beyond 17 days.
However to make the project duration of 18 days, one needs to crash A-B-D to 18 days or below.
This in other words would mean reducing duration of activity B from 8 days to 6 days or less.
There is no option of crashing B to 6 days.
However duration of B can be reduced to 5 days by shipping by Bush airlines at a cost of $400
With this , revised duration of A-B-D will become = 10 +5 _ 2 = 17 days with a shipping cost of $400.
Thus , minimum project duration of 18 days will be achieved.
A
C
B
D
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