Operations Management

Question 12

Please show work. Thank you.

Problem 14-10 (Static) 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: VOLUME {PARTS PER PLANT LDCTIDN COORDINATES (x, y} YEAR) Peoria 388, 328 4,888 Decatur 3?5, 4?8 6,888 Joliet 478, 188 3,888 Use the centroid method to determine a location for this new facility. Note: Round your answers to 1 decimal place