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Problem: You are given the following network.
Activity Immediate Normal Time Crash Time Normal Cost Crash Cost
A -- 6 $100 $100
B A 10 4 $2,000 $2,600
C A 10 8 $800 $920
D B 6 5 $700 $750
E B 8 6 $1,000 $1,140
F C,D 9 7 $1,400 $1,550
G E 14 10 $3,000 $3,320
H E,F 10 8 $900 $1,020
The Normal Cost for an activity is the total cost to complete that activity in the Normal Time and the Crash Cost is the total cost to complete that activity in the Crash Time. Use the Normal Times to answer parts a) through c).
a) Draw the project network.
b) Calculate the slack time for each activity.
c) Identify the critical path and the project completion time and the total work time.
d) Suppose you want to reduce the project time by two weeks. Based on the information provided, what would be the additional project cost to achieve this and what activity(ies) are crashed?
e) What is the minimum project completion time? Identify which activities to crash and by how many weeks to achieve that time.
f) What is the resulting project cost for the project completion time in e)?
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