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 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 Phoenix Tucson Albuquerque Santa Fe X-COORDINATES 255 355 BOS 855 y-COORDINATES 255 130 455 550 NUMBER OF CASES 24,000 19,500 27,500 16,000 a. Use the centroid method to recommend a location for the new bottling plant. (Round your answers to 1 decimal place.) 10x cy