A medical device company that provides free$-$shipping to its customers $($Delivered Duty Paid DDP$)$ in Latin America wishes to minimize its transportation costs for shipments from a centralized distribution center to its five $(5)$ major customers in the region. Given the locations of its customers and the number of identically sized shipments per month, determine the ideal location $($coordinates$)$ of the distribution center $($round to the nearest hundredth$).$ Which country are the coordinates located in$?$ Despite your calculations, why might this not be an ideal geographic location?

$\backslash$table$[[$Customer Location $(x,y),$Shipments per month$],[(2,8),40],[(4,5),10],[(6,2),25],[(7,4),30],[(8,5),40]]$