Note: This problem requires the use of a linear programming application such as Solver or Analytic Solver. 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 proces. 54 Min 200x1 + 250x2 + 225x3 + 190x4 +215x5 + 245x6 + 235x7 + 220xg s.t. x1 + x2 + x5 + x7 2 1Ruilding A constraint) x1 + x2 + x3 2 1{Building B constraint) X6 + x8 2 1 (Building C constraint) x1 + x4 + x7 2 1 {Building D constraint} x2 + x7 2 1{Building E constraint) x3 + x8 2 1 {Building F constraint) x2 + x5 + X7 2 1 (Building G constraint} X1 + X4 + X6 2 1 (Building H constraint) x1 + x6 + xg 2 1 (Building I constraint} x1 + x2 + x7 2 1 (Building J constraint} S 1, if crew jis selected 10, otherwise Ij = Set up the problem in Excel and find the optimal solution. Which crews are selected?

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Author:WINSTON, Wayne L.
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Note: This problem requires the use of a linear programming application such as Solver or Analytic Solver.
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.
0:54
Min 200x1 + 250x2 + 225x3 + 190x4 +215x5 + 245x6 + 235x7 + 220xg
s.t x1 + x2 + x5 + x7 2 1{Ruilding A constraint}
X1 + x2 + x3 2 1{Building B constraint}
X6 + x8 2 1 {Building C constraint)
X1 + X4 + x7 2 1 {Building D constraint}
x2 + x7 2 1 {Building E constraint}
X3 + x8 2 1 {Building F constraint)
x2 + x5 + x7 2 1 (Building G constraint}
x1
X4 + X6 2 1 {Building H constraint}
x1 + x6 + xg 2 1 {Building I constraint}
x1 + x2 + x7 2 1 {Building J constraint}
| 1, if crewjis selected
Tj =
10, otherwise
Set up the problem in Excel and find the optimal solution. Which crews are selected?
Transcribed Image Text:Save & Exit Note: This problem requires the use of a linear programming application such as Solver or Analytic Solver. 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. 0:54 Min 200x1 + 250x2 + 225x3 + 190x4 +215x5 + 245x6 + 235x7 + 220xg s.t x1 + x2 + x5 + x7 2 1{Ruilding A constraint} X1 + x2 + x3 2 1{Building B constraint} X6 + x8 2 1 {Building C constraint) X1 + X4 + x7 2 1 {Building D constraint} x2 + x7 2 1 {Building E constraint} X3 + x8 2 1 {Building F constraint) x2 + x5 + x7 2 1 (Building G constraint} x1 X4 + X6 2 1 {Building H constraint} x1 + x6 + xg 2 1 {Building I constraint} x1 + x2 + x7 2 1 {Building J constraint} | 1, if crewjis selected Tj = 10, otherwise Set up the problem in Excel and find the optimal solution. Which crews are selected?
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