The following is a table of activities associated with a project at Rafay Ishfaq
ID: 410870 • Letter: T
Question
The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activities each must precede and the crash cost to reduce duration per week Activity Duration (weeks) Precedes Crash CostWeek A (start) S370 $130 S200 S140 S400 B. C F (en Suppose that Rafay is only given 5 weeks (instead of 8) to complete the project. By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration. Each Activity Should be Reduced BY weeks) Activity week(s) week s) week(s) week(s) week(s) What is the total crashing cost? $ (Enter your response as a whole number)Explanation / Answer
Following is the precedence diagram of activities at Rafay Ishfaq’s software firm in Chicago :
A
B
C
E
F
The parallel paths and their corresponding duration of each path as follows :
A-B-E-F = 2 +2 + 1 + 2 = 7 days
A-C-F = 2 + 4 +2 = 8 days
Th critical path therefore is the one with the longest duration which is A-B-E-F . Duration of the project is same as duration of critical path which is 8 days.
Following is the crashing schedule of activities to bring overall project duration to 5 days :
Crash activity B from 2 days to 0 duration @ $130 / day = $260 ( i.e. reduce duration by 2 days )
Crash activity C from 4 days to 1 day @ $ 200 / day = $200 x 3 = $600 ( i.e. reduce duration by 3 days )
Thus, total cost of crashing the project = Crashing cost of activity B + Crashing cost of activity C = $260 + $600 = $860
ACTIVITY
Each activity should be reduced by ( Weeks )
A
0
B
2
C
3
D
0
E
0
F
0
TOTAL CRASHING COST = $860
A
B
C
E
F
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