Problem $14-11($Algo$)$

DM Office Products $($DMOP$)$ is a wholesale supplier of office products with one facility in Pennsylvanla. It has decided to bulld 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 delvery is essentlally the same for a full or partlally full truck. The expected number of annual shipments to each city and thelr coordinates on an $\backslash ($ x$,$ y $\backslash )$ grid is shown in the following table.

Use the centrold method to recommend a location for the new warehouse for DMOP.

Note: Round your answers to $1$ decimal place.