Please be descriptive and show all work step-by-step.

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 Phoenix Tucson Albuquerque Santa Fe x-COORDINATES 255 355 805 855 y-COORDINATES 255 130 455 525 NUMBER OF CASES 25,500 21,000 29,000 17,500 a. Use the centroid method to recommend a location for the new bottling plant. (Round your answers to 1 decimal place.) |C,