The project manager of a task force planning the construction of a domed stadium had hopedto be able to complete construction prior to the start of the next college football season. Afterreviewing construction time estimates, it now appears that a certain amount of crashing will beneeded to ensure project completion before the season opener. Given the following time and costestimates, determine a minimum-cost crashing schedule that will shave five weeks off the projectlength. Note: No activity can be crashed more than two weeks.CRASHING COSTS ($000)Activity Immediate Predecessor Normal Time (weeks) First Week Second WeekA — 12 $15 $20B A 14 10 10C — 10 5 5D C 17 20 21E C 18 16 18F C 12 12 15G D 15 24 24H E 8 — —I F 7 30 —J I 12 25 25K B 9 10 10M G 3 — —N H 11 40 —P H, J 8 20 20End K, M, N, P

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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The project manager of a task force planning the construction of a domed stadium had hoped
to be able to complete construction prior to the start of the next college football season. After
reviewing construction time estimates, it now appears that a certain amount of crashing will be
needed to ensure project completion before the season opener. Given the following time and cost
estimates, determine a minimum-cost crashing schedule that will shave five weeks off the project
length. Note: No activity can be crashed more than two weeks.
CRASHING COSTS ($000)
Activity Immediate Predecessor Normal Time (weeks) First Week Second Week
A — 12 $15 $20
B A 14 10 10
C — 10 5 5
D C 17 20 21
E C 18 16 18
F C 12 12 15
G D 15 24 24
H E 8 — —
I F 7 30 —
J I 12 25 25
K B 9 10 10
M G 3 — —
N H 11 40 —
P H, J 8 20 20
End K, M, N, P

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