Problem 14-10 (Algo) A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The locations of the current plants with their coordinates and volume requirements are given in the following table: PLANT LOCATION Peorial COORDINATES (x, y) 291, 299 381, 473 VOLUME (PARTS PER YEAR) 4,300 Decatur 5,950 Joliet 464, 178 3,050 Use the centroid method to determine a location for this new facility. (Round your answers to 1 decimal place.) Cx Cy Problem 14-11 (Algo) DM Office Products (DMOP) is a wholesale supplier of office products with one facility in Pennsylvania. It has decided to build a new distribution warehouse in the state of New York to help serve the growing demand in that market. It has four major customers located in Buffalo, Syracuse, Albany, and New York City. Though New York City is the largest market, it also has the greatest competition, and DMOP is not a major player there. When DMOP ships an order to a customer, it uses its own small fleet of two trucks to deliver, so the cost of delivery is essentially the same for a full or partially full truck. The expected number of annual shipments to each city and their coordinates on an x, y grid is shown in the following table. CITY NUMBER OF SHIPMENTS x-COORDINATES 365 y-COORDINATES 890 Buffalo 95 Syracuse 1,460 940 99 Albany 2,340 670 139 New York City 2,315 20 79 Use the centroid method to recommend a location for the new warehouse for DMOP. (Round your answers to 1 decimal place.) Cx Cy 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. CITY Phoenix Tucson Albuquerque Santa Fe x-COORDINATES 280 380 830 880 y-COORDINATES 280 155 480 550 NUMBER OF CASES 28,000 26,000 34,000 20,000 a. Use the centroid method to recommend a location for the new bottling plant. (Round your answers to 1 decimal place.) | Cy