Question
You are given the following network. Activity Immediate Predecessors Normal Completion Time (Weeks) Crash Completion Time (Weeks) Normal Cost (Total) Crash Cost (Total) A --
You are given the following network.
Activity | Immediate Predecessors | Normal Completion Time (Weeks) | Crash Completion Time (Weeks) | Normal Cost (Total) | Crash Cost (Total) |
A | -- | 6 | 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 three weeks. Based on the information provided, what would be the additional project cost to achieve this and what activity(ies) are crashed?
e) Now, for every week that the project is reduced, there is a $120 benefit. What is the minimum cost schedule and what is the cost of the project considering the benefit received.Also identify which activities to crash and by how many weeks.
Could you please focus only on parts (d & e) for this problem? thanks in advance. I don't plan to copy-paste the tutor's work. it is just for my understanding.
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