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, 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 costs to serve their key markets. Following is a list of cities where their 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 $28028028,000$

Tucson $38015526,000$

Albuquerque $83048034,000$

Santa Fe $88055020,000$

a$.$ Use the centroid method to recommend a location for the new bottling plant. $($Round your answers to $1$ decimal place.$)$