Final answer:
The question involves using Weber's Location Model to find the most efficient warehouse location, which is usually calculated as a centroid, weighted by shipping loads. However, without the complete data on shipping loads, it is not possible to determine the optimal warehouse location coordinates.
Step-by-step explanation:
The question seeks to determine the optimal location for a new warehouse to ensure efficient and cost-effective distribution to various local cities, based on given map coordinates and shipping loads. This kind of problem is typically addressed using a concept from geography and business known as Weber's Location Model. In this model, the best location for a facility is the one that minimizes transportation costs, often considering factors such as proximity to transportation links and the volume of goods being shipped.
In a scenario where only the coordinates and shipping loads are provided, one would typically calculate the centroid of the locations, weighted by the shipping loads, to find the optimal location. However, since we do not have the actual shipping loads for each city and the student did not provide the complete table of data or the specifics needed to calculate the centroid, you cannot accurately provide the optimal coordinates for the warehouse location without more information.