Santa Cruz Bottling is a manufacturer of organic soft drinks on the coast of central California. Its products are enjoying a growing reputation and increased demand throughout the American Southwest. Because of the high cost of transportation soft drinks, they are considering a new plant to serve the states of New Mexico and Arizona. A key concern in their search for a new location is the resultant transportation cost to serve their key markets. Following is a list of cities where their main wholesale customers are located, along with estimated annual demand in cased of product for each.  CITY                x-COORDINATES       y-COORDINATES           # OF CASES  Phoenix                  281                                   281                    24,500  Tucson                    381                                  156                    20,000  Albuquerque          831                                   481                    28,000  Santa Fe                  881                                   526                   16,500  Use the centroid method to recommend a location for a new bottling plant. (Round 1 decimal place)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
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Santa Cruz Bottling is a manufacturer of organic soft drinks on the coast of central California. Its products are enjoying a growing reputation and increased demand throughout the American Southwest. Because of the high cost of transportation soft drinks, they are considering a new plant to serve the states of New Mexico and Arizona. A key concern in their search for a new location is the resultant transportation cost to serve their key markets. Following is a list of cities where their main wholesale customers are located, along with estimated annual demand in cased of product for each. 

CITY                x-COORDINATES       y-COORDINATES           # OF CASES 

Phoenix                  281                                   281                    24,500 

Tucson                    381                                  156                    20,000 

Albuquerque          831                                   481                    28,000 

Santa Fe                  881                                   526                   16,500 

  1. Use the centroid method to recommend a location for a new bottling plant. (Round 1 decimal place)
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,