A Farmers' Cooperative Association Plans to Build a New Sugar

Essay

A farmers' cooperative association plans to build a new sugar mill in Southwestern Louisiana.The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs.The members of the co-op believe that the center-of-gravity method is appropriate for this objective.While there are over 200 sugar cane farms in the region,they are tightly clustered around six villages.Using the data below,use the center-of-gravity method to calculate the coordinates of the best location for this mill.All mileage references use the city of Lake Charles as (0,0).