Without solving the BIP model, which crew could be scheduled to clean Buildings B and F?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Crew 6
Crew 3
Crew 7
Crew 4
Crew 8
Transcribed Image Text:Multiple Choice Crew 6 Crew 3 Crew 7 Crew 4 Crew 8
The university is scheduling cleaning crews for its ten buildings. Each crew has a different cost and is qualified to
clean only certain buildings. There are eight possible crews to choose from in this case. The goal is to minimize
costs while making sure that each building is cleaned. The management science department formulated the
following linear programming model to help with the selection process.
Min 200x1 + 250x2 + 225x3 + 190x4 +215x5 + 245x6 + 235x7 + 220x8
s.t. X1 + X2 + X5 + X7 ≥ 1 {Building A constraint}
X1 + X2 + X3 ≥ 1 {Building B constraint}
X6 + x8 ≥ 1 {Building C constraint}
X1 + X4 + X7 ≥ 1 {Building D constraint}
X2 + x7 ≥ 1 {Building E constraint}
X3 + x8 ≥ 1 {Building F constraint}
X2 + X5 + X7 ≥ 1 (Building G constraint}
X1 + X4 + X6 ≥ 1 {Building H constraint}
X1 + X6 + X8 ≥ 1 {Building I constraint}
X1 + X2 + X7 ≥ 1 {Building J constraint}
[1, if crew jis selected
0, otherwise
Xj
=
Without solving the BIP model, which crew could be scheduled to clean Buildings B and F?
Transcribed Image Text:The university is scheduling cleaning crews for its ten buildings. Each crew has a different cost and is qualified to clean only certain buildings. There are eight possible crews to choose from in this case. The goal is to minimize costs while making sure that each building is cleaned. The management science department formulated the following linear programming model to help with the selection process. Min 200x1 + 250x2 + 225x3 + 190x4 +215x5 + 245x6 + 235x7 + 220x8 s.t. X1 + X2 + X5 + X7 ≥ 1 {Building A constraint} X1 + X2 + X3 ≥ 1 {Building B constraint} X6 + x8 ≥ 1 {Building C constraint} X1 + X4 + X7 ≥ 1 {Building D constraint} X2 + x7 ≥ 1 {Building E constraint} X3 + x8 ≥ 1 {Building F constraint} X2 + X5 + X7 ≥ 1 (Building G constraint} X1 + X4 + X6 ≥ 1 {Building H constraint} X1 + X6 + X8 ≥ 1 {Building I constraint} X1 + X2 + X7 ≥ 1 {Building J constraint} [1, if crew jis selected 0, otherwise Xj = Without solving the BIP model, which crew could be scheduled to clean Buildings B and F?
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