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.

Please show your work and answer $($: