5...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 260 260 26,000

Tucson 360 135 22,000

Albuquerque 810 460 30,000

Santa Fe 860 530 18,000

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

Cx=

Cy=