A mattress manufacturer produces mattresses in 5 locations in the North America. The company isplanning a new production plant which will supply box springs to all 5 mattress plants. The mattressplants have been located on a coordinate system as follows:Mattress PlantCoordinates (X,Y)A7,2В4,55,4D6,1E8,3Suppose shipments of box springs to each plant per week were the following: plant A 200 units; plant B400 units; plant C 300 units; plant D 400 units; plant E 100 units. Which of the following is the closestto the optimal location for the box spring plant?O A. 7.7,4.3O B. 5.5,3.1O C. 4.3,7.7O D. 3.1,4.3OE. 3.1,5.5

Optimal location: The optimal location is the location that will be nearest to all 5 plants and…

Answered: A mattress manufacturer produces…

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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J 2 An electronics store wants to identify a location for a warehouse that will ship to five retail stores. The coordinates and annual number of truckloads are given in the accompanying table. Develop a model to find the best location, assuming that straight-line distances can be used between the locations. Experiment with the model by testing each of the possible best solutions, included, to find the best location. Click here to view the data for the store locations and annual numbers of truckloads. Click here to view some possible best solutions. The best location is at____. (Type an ordered pair. Round each coordinate to the nearest integer as needed.)
a. A single facility is needed to meet the demands of four markets. The locations and demands of these four markets are shown below. Market Coordinate S Demand A (8,6) 10 B (4, 12) 15 C (3,2) 10 Ꭰ (9,6) 6 i. Using the data in Table 13.2, identify an optimal location for the new facility.
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