#3) Consider the following project, all durations are in days. Construct a precedence diagram, find the critical path and which tasks have slack and how much each has. Which tasks would you recommend crashing to reduce the project duration by six days assuming that it costs the same to crash each task and no task by be crashed to less than half its original duration and tasks A and N cannot be crashed at all? Task Predecessors A B C D E F G H I J K L M N A A A B E с C G H D K L F, I, J, M Most Likely Duration 4 12 7 12 10 7 18 13 10 13 10 11 7 3

Practical Management Science
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#3) Consider the following project, all durations are in days. Construct a precedence diagram,
find the critical path and which tasks have slack and how much each has. Which tasks would you
recommend crashing to reduce the project duration by six days assuming that it costs the same to
crash each task and no task by be crashed to less than half its original duration and tasks A and N
cannot be crashed at all?
Task
Predecessors
A
B
с
D
E
F
G
H
I
J
K
L
M
N
A
A
A
B
E
с
с
G
H
D
K
L
F, I, J, M
Most Likely
Duration
4
12
7
12
10
7
18
13
10
13
10
11
7
3
Transcribed Image Text:#3) Consider the following project, all durations are in days. Construct a precedence diagram, find the critical path and which tasks have slack and how much each has. Which tasks would you recommend crashing to reduce the project duration by six days assuming that it costs the same to crash each task and no task by be crashed to less than half its original duration and tasks A and N cannot be crashed at all? Task Predecessors A B с D E F G H I J K L M N A A A B E с с G H D K L F, I, J, M Most Likely Duration 4 12 7 12 10 7 18 13 10 13 10 11 7 3
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