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56. A company is considering where to locate its cafeteria to service six buildings. The locations of the buildings and the fraction of the company's employees working at these locations are Fraction of Building aj bị Workforce A 2 B 1 3 D 5 E 4 2 F 10 7 a. Find the optimal location of the cafeteria to minimize the weighted rectilinear distance to all the buildings. b. Find the optimal location of the cafeteria to minimize the maximum rectilinear distance to all the buildings. Chapter Eleven Facilities Layout and Location c. Find the gravity solution. d. Suppose that the cafeteria must be located in one of the buildings. In which building should it be located if the goal is to minimize weighted rectilinear distance? e. Solve part (d) assuming weighted Euclidean distance.

56. A company is considering where to locate its cafeteria to service six buildings. The locations of the buildings and the fraction of the company's employees working at these locations are Fraction of Building aj bị Workforce A 2 B 1 3 D 5 E 4 2 F 10 7 a. Find the optimal location of the cafeteria to minimize the weighted rectilinear distance to all the buildings. b. Find the optimal location of the cafeteria to minimize the maximum rectilinear distance to all the buildings. Chapter Eleven Facilities Layout and Location c. Find the gravity solution. d. Suppose that the cafeteria must be located in one of the buildings. In which building should it be located if the goal is to minimize weighted rectilinear distance? e. Solve part (d) assuming weighted Euclidean distance.

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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56. A company is considering where to locate its cafeteria to service six buildings. The locations of the buildings and the fraction of the company's employees working at these locations are Fraction of Building aj bị Workforce A 2 B 1 3 D 5 E 4 2 F 10 7 a. Find the optimal location of the cafeteria to minimize the weighted rectilinear distance to all the buildings. b. Find the optimal location of the cafeteria to minimize the maximum rectilinear distance to all the buildings. Chapter Eleven Facilities Layout and Location c. Find the gravity solution. d. Suppose that the cafeteria must be located in one of the buildings. In which building should it be located if the goal is to minimize weighted rectilinear distance? e. Solve part (d) assuming weighted Euclidean distance.
Transcribed Image Text:56. A company is considering where to locate its cafeteria to service six buildings. The locations of the buildings and the fraction of the company's employees working at these locations are Fraction of Building aj bị Workforce A 2 B 1 3 D 5 E 4 2 F 10 7 a. Find the optimal location of the cafeteria to minimize the weighted rectilinear distance to all the buildings. b. Find the optimal location of the cafeteria to minimize the maximum rectilinear distance to all the buildings. Chapter Eleven Facilities Layout and Location c. Find the gravity solution. d. Suppose that the cafeteria must be located in one of the buildings. In which building should it be located if the goal is to minimize weighted rectilinear distance? e. Solve part (d) assuming weighted Euclidean distance.
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