Problem $14-12($Algo$)$

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 transporting soft drinks, it is considering a new plant to serve the states of New

Mexico and Arizona. A key concern in its search for a new location is the resultant transportation costs to

serve its key markets. Following is a list of cities where its main wholesale customers are located, along

with estimated annual demand in cases of product for each.

Use the centroid method to recommend a location for the new bottling plant.

Note: Round your answers to $1$ decimal place.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 transporting soft drinks, it is considering a new plant to serve the states of New Mexico and Arizona. A key concern in its search for a new location is the resultant transportation costs to serve its key markets. Following is a list of cities where its main wholesale customers are located, along with estimated annual demand in cases of product for each.

CITY x$-$COORDINATES y$-$COORDINATES NUMBER OF CASES

Phoenix $29029029,000$

Tucson $39016528,000$

Albuquerque $84049036,000$

Santa Fe $89056021,000$

Use the centroid method to recommend a location for the new bottling plant.