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?
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?
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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