Suppose you want to locate a single restroom so that company employees have to travel the smallest possible distance per day when going to the bathroom. Employees work in four locations within the plant as described in the following table:

Assume that employees always walk in a north–south or east–west direction when going to and from the restroom. Where should the restroom be located?

X 5 50 25 80 Y 20 50 75 30 Number of employees 6 12 23 15