Three cities X, Y and Z lie on a plane with coordinates (0, 0), (200, 0) and (0, 300) respectively.
Town X has 100 residents, town Y has 200, and town Z has 300. A
train station is to be built
at coordinates (x, y), where x and y are both integers, such that the overall distance traveled by
all the residents is minimized. What is (x, y)?