a)
Based on the given info, the project length is 16 weeks
Activity | Normal | Crash | Normal C | Crash C | IP | Max Crash | Crash slope | Crash time | Final time | Start | Finish | Original CP |
A | 4 | 3 | 2000 | 3700 | - | 1 | 1700 | 0 | 4 | 0 | 4 | Y |
B | 2 | 1 | 2300 | 3100 | - | 1 | 800 | 0 | 2 | 0 | 2 | |
C | 3 | 3 | 500 | 500 | - | 0 | N/A | 0 | 3 | 0 | 3 | |
D | 8 | 4 | 2300 | 2580 | A | 4 | 70 | 0 | 8 | 4 | 12 | Y |
E | 6 | 3 | 900 | 1275 | B | 3 | 125 | 0 | 6 | 2 | 8 | |
F | 3 | 2 | 3400 | 4800 | C | 1 | 1400 | 0 | 3 | 3 | 6 | |
G | 4 | 2 | 1500 | 2100 | D,E | 2 | 300 | 0 | 4 | 12 | 16 | Y |
Normal cost | 12900 | |||||||||||
Crash cost | 0 |
b)
The total cost based on normal time (add up all the normal cost) = 12900
c)
For reducing the project duration by 1 week, we must reduce the critical activity that is the cheapest (smallest crash slope). That is Activity D.
The critical path is A-D-G.
Activity | Normal | Crash | Normal C | Crash C | IP | Max Crash | Crash slope | Crash time | Final time | Start | Finish | Original CP |
A | 4 | 3 | 2000 | 3700 | - | 1 | 1700 | 0 | 4 | 0 | 4 | Y |
B | 2 | 1 | 2300 | 3100 | - | 1 | 800 | 0 | 2 | 0 | 2 | |
C | 3 | 3 | 500 | 500 | - | 0 | N/A | 0 | 3 | 0 | 3 | |
D | 8 | 4 | 2300 | 2580 | A | 4 | 70 | 1 | 7 | 4 | 11 | Y |
E | 6 | 3 | 900 | 1275 | B | 3 | 125 | 0 | 6 | 2 | 8 | |
F | 3 | 2 | 3400 | 4800 | C | 1 | 1400 | 0 | 3 | 3 | 6 | |
G | 4 | 2 | 1500 | 2100 | D,E | 2 | 300 | 0 | 4 | 11 | 15 | Y |
Normal cost | 12900 | |||||||||||
Crash cost | 70 |
d)
Maximum weeks that project can be reduced by crashing is 9 weeks
We can crash A, D, and G to the maximum. This will reduce the path duration to 9 weeks. In addition we need to crash E as well. This will make two critical paths. ADG and BEG
The total cost will be 1290 + 2705 = 3995
Activity | Normal | Crash | Normal C | Crash C | IP | Max Crash | Crash slope | Crash time | Final time | Start | Finish | Original CP |
A | 4 | 3 | 2000 | 3700 | - | 1 | 1700 | 1 | 3 | 0 | 3 | Y |
B | 2 | 1 | 2300 | 3100 | - | 1 | 800 | 0 | 2 | 0 | 2 | |
C | 3 | 3 | 500 | 500 | - | 0 | N/A | 0 | 3 | 0 | 3 | |
D | 8 | 4 | 2300 | 2580 | A | 4 | 70 | 4 | 4 | 3 | 7 | Y |
E | 6 | 3 | 900 | 1275 | B | 3 | 125 | 1 | 5 | 2 | 7 | |
F | 3 | 2 | 3400 | 4800 | C | 1 | 1400 | 0 | 3 | 3 | 6 | |
G | 4 | 2 | 1500 | 2100 | D,E | 2 | 300 | 2 | 2 | 7 | 9 | Y |
Normal cost | 12900 | |||||||||||
Crash cost | 2705 |
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