a. Find the critical path and the normal project length. b. Find the project length and project cost if all activities are crashed to their minimum completion times. c. Which activities would you crash? What would be the total cost when crashing only these activities (rather than all of them, as above)?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 12P
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Problem 2
A network with the activity times (in days) and other relevant data is shown below.
A(4)
B(2)
C(4)
D(3)
E(5)
F(6)
G(2)
I(5)
H(3)
J(7)
Transcribed Image Text:Problem 2 A network with the activity times (in days) and other relevant data is shown below. A(4) B(2) C(4) D(3) E(5) F(6) G(2) I(5) H(3) J(7)
Activity
A
B
C
D
E
F
G
H
I
J
Normal Time
4
2
4
3
5
6
2
3
5
Time (days)
7
Crash Time
4
1
2
2
4
3
1
2
2
7
Normal
cost
$5,000
$4,000
$9,000
$5,000
$9,000
$7,000
$2,000
$6,000
$10,000
$8,000
Cost increment/
day crashed
$1,000
$500
$700
$1,000
$700
$1,000
$1,000
$800
a. Find the critical path and the normal project length.
b. Find the project length and project cost if all activities are crashed to their minimum
completion times.
c. Which activities would you crash? What would be the total cost when crashing only these
activities (rather than all of them, as above)?
Transcribed Image Text:Activity A B C D E F G H I J Normal Time 4 2 4 3 5 6 2 3 5 Time (days) 7 Crash Time 4 1 2 2 4 3 1 2 2 7 Normal cost $5,000 $4,000 $9,000 $5,000 $9,000 $7,000 $2,000 $6,000 $10,000 $8,000 Cost increment/ day crashed $1,000 $500 $700 $1,000 $700 $1,000 $1,000 $800 a. Find the critical path and the normal project length. b. Find the project length and project cost if all activities are crashed to their minimum completion times. c. Which activities would you crash? What would be the total cost when crashing only these activities (rather than all of them, as above)?
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