Location Decisions

A manufacturer of oak barrels has factories in an area at the location coordinates provided in the following table. Each coordinate unit represents approximately 10 miles. The yearly demand at each factory is also given.

Factory
                Demand
               X-Coordinate
     Y-Coordinate

Manchester
       14,000
   
                80
           
                60

Fayetteville
        17,000
   
                60
           
                10

Columbia
             5,000
     
                30
           
                90

Lawrenceburg
   3,000
     
                30
           
                20

Management has decided to build a new factory to supply raw material to these factories. The location of the new factory should be central to the existing factories.

Respond to the following in a Microsoft Excel worksheet:

*What should be the map coordinates of the new factory? Graph the locations of the four factories and the proposed raw material factory.

*Is the location of the proposed raw material factory where you expected it to be based on the coordinates of the other factories? Why or why not?

*What is the main contributing factor leading to the location of the proposed raw material factory?

Support your responses with examples.

Needs in-text citations and full references listed and cite any sources in APA format. Also, if possible to use some information from
  Title:
  Opreations Management, Author:
  Jay Heizer; Barry Render, Edition / Copyright:
 10, Publisher:
  Prentice Hall PTR

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