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Activity normal durations, crash durations and cost Crash Normal Duration Duration Activity (weeks) (weeks) 4 A-B B-C B-D B-E C-F C-K D-G E-H F-G F-I F-K F-L F-N G-L H-K J-O K-N L-M M-O N-O 3263 2 3 NGMMNNNNNN 2 10 3 3 2 2 2 2 10 2 3 8 4 2 12 2 23752 3 1 5 2 2 218N 8 2 2 1 1 1 1 9 1 1 7 2 1 10 Normal Cost ($) 300,000.00 100,000.00 50,000.00 150,000.00 30,000.00 20,000.00 300,000.00 60,000.00 160,000.00 350,000.00 170,000.00 330,000.00 250,000.00 60,000.00 100,000.00 10,000.00 30,000.00 50,000.00 40,000.00 5,000.00 200,000.00 Crash Cost ($) 420,000.00 100,000.00 55,000.00 200,000.00 150,000.00 25,000.00 350,000.00 140,000.00 260,000.00 500,000.00 270,000.00 440,000.00 500,000.00 65,000.00 110,000.00 20,000.00 35,000.00 80,000.00 50,000.00 6,000.00 240,000.00 Note: The Crash duration represents the minimum duration where an activity is speeded up as much as possible. The crash cost represents the increased cost of the increased cost of the activity after it has been speeded up as much as possible. a) Draw a schedule showing the work package critical path and duration. b) Assume the work package has to be completed within 44weeks. Calculate the most cost effective way of completing the work package within this time, giving the cost increase associated with this crash sequence.

Activity normal durations, crash durations and cost Crash Normal Duration Duration Activity (weeks) (weeks) 4 A-B B-C B-D B-E C-F C-K D-G E-H F-G F-I F-K F-L F-N G-L H-K J-O K-N L-M M-O N-O 3263 2 3 NGMMNNNNNN 2 10 3 3 2 2 2 2 10 2 3 8 4 2 12 2 23752 3 1 5 2 2 218N 8 2 2 1 1 1 1 9 1 1 7 2 1 10 Normal Cost ($) 300,000.00 100,000.00 50,000.00 150,000.00 30,000.00 20,000.00 300,000.00 60,000.00 160,000.00 350,000.00 170,000.00 330,000.00 250,000.00 60,000.00 100,000.00 10,000.00 30,000.00 50,000.00 40,000.00 5,000.00 200,000.00 Crash Cost ($) 420,000.00 100,000.00 55,000.00 200,000.00 150,000.00 25,000.00 350,000.00 140,000.00 260,000.00 500,000.00 270,000.00 440,000.00 500,000.00 65,000.00 110,000.00 20,000.00 35,000.00 80,000.00 50,000.00 6,000.00 240,000.00 Note: The Crash duration represents the minimum duration where an activity is speeded up as much as possible. The crash cost represents the increased cost of the increased cost of the activity after it has been speeded up as much as possible. a) Draw a schedule showing the work package critical path and duration. b) Assume the work package has to be completed within 44weeks. Calculate the most cost effective way of completing the work package within this time, giving the cost increase associated with this crash sequence.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Activity normal durations, crash durations and cost

Activity Normal Duration (weeks)  Crash Duration (weeks) Normal Cost ($) Crash Cost ($)
A-B 4 2  300,000.00  420,000.00
B-C 3 3  100,000.00  100,000.00
B-D 2 1  50,000.00  55,000.00
B-E 6 5  150,000.00  200,000.00
C-F 3 2  30,000.00  150,000.00
C-K 3 2  20,000.00  25,000.00
D-G 2 1  300,000.00  350,000.00
E-H 10 8  60,000.00  140,000.00
F-G 3 2  160,000.00  260,000.00
F-I 3 2  350,000.00  500,000.00
F-K 2 1  170,000.00  270,000.00
F-L 2 1  330,000.00  440,000.00
F-N 2 1  250,000.00  500,000.00
G-L 2 1  60,000.00  65,000.00
H-K 10 9  100,000.00  110,000.00
I-J 2 1  10,000.00  20,000.00
J-O 3 1  30,000.00  35,000.00
K-N 8 7  50,000.00  80,000.00
L-M 4 2  40,000.00  50,000.00
M-O 2 1  5,000.00  6,000.00
N-O 12 10  200,000.00  240,000.00

 Note: The Crash duration represents the minimum duration where an activity is speeded up as much as possible. The crash cost represents the increased cost of the increased cost of the activity after it has been speeded up as much as possible.

a) Draw a schedule showing the work package critical path and duration.

b) Assume the work package has to be completed within 44weeks. Calculate the most cost effective way of completing the work package within this time, giving the cost increase associated with this crash sequence.

 

Activity normal durations, crash durations and cost Crash Normal Duration Activity (weeks) A-B B-C B-D B-E C-F C-K D-G E-H F-G F-I F-K F-L F-N G-L H-K I-J J-O K-N L-M M-O N-O 4 3 2 NW w a 6 3 3 2 10 O N N N N W w ō 3 3 2 2 9 10 2384 2 12 Duration (weeks) 2 3 1 5 ON N 2 2 1 00 N 8 2 2 1 1 1 1 9 HANN 1 1 7 2 1 10 Normal Cost ($) 300,000.00 100,000.00 50,000.00 150,000.00 30,000.00 20,000.00 300,000.00 60,000.00 160,000.00 350,000.00 170,000.00 330,000.00 250,000.00 60,000.00 100,000.00 10,000.00 30,000.00 50,000.00 40,000.00 5,000.00 200,000.00 Crash Cost ($) 420,000.00 100,000.00 55,000.00 200,000.00 150,000.00 25,000.00 350,000.00 140,000.00 260,000.00 500,000.00 270,000.00 440,000.00 500,000.00 65,000.00 110,000.00 20,000.00 35,000.00 80,000.00 50,000.00 6,000.00 240,000.00 Note: The Crash duration represents the minimum duration where an activity is speeded up as much as possible. The crash cost represents the increased cost of the increased cost of the activity after it has been speeded up as much as possible. a) Draw a schedule showing the work package critical path and duration. b) Assume the work package has to be completed within 44weeks. Calculate the most cost effective way of completing the work package within this time, giving the cost increase associated with this crash sequence.
Transcribed Image Text:Activity normal durations, crash durations and cost Crash Normal Duration Activity (weeks) A-B B-C B-D B-E C-F C-K D-G E-H F-G F-I F-K F-L F-N G-L H-K I-J J-O K-N L-M M-O N-O 4 3 2 NW w a 6 3 3 2 10 O N N N N W w ō 3 3 2 2 9 10 2384 2 12 Duration (weeks) 2 3 1 5 ON N 2 2 1 00 N 8 2 2 1 1 1 1 9 HANN 1 1 7 2 1 10 Normal Cost ($) 300,000.00 100,000.00 50,000.00 150,000.00 30,000.00 20,000.00 300,000.00 60,000.00 160,000.00 350,000.00 170,000.00 330,000.00 250,000.00 60,000.00 100,000.00 10,000.00 30,000.00 50,000.00 40,000.00 5,000.00 200,000.00 Crash Cost ($) 420,000.00 100,000.00 55,000.00 200,000.00 150,000.00 25,000.00 350,000.00 140,000.00 260,000.00 500,000.00 270,000.00 440,000.00 500,000.00 65,000.00 110,000.00 20,000.00 35,000.00 80,000.00 50,000.00 6,000.00 240,000.00 Note: The Crash duration represents the minimum duration where an activity is speeded up as much as possible. The crash cost represents the increased cost of the increased cost of the activity after it has been speeded up as much as possible. a) Draw a schedule showing the work package critical path and duration. b) Assume the work package has to be completed within 44weeks. Calculate the most cost effective way of completing the work package within this time, giving the cost increase associated with this crash sequence.
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