Question 16
Three towns $X,Y,Z$ have coordinates $(0,0),(200,0),(0,300)$, respectively. They contain 100, 200 and 300 students, respectively. A school is to be built at an integer grid point $(x,y)$ so that the total distance travelled by all students is minimized. Find $x+y$.
Use straight-line Euclidean travel distances in the plane, with every student travelling from their own town to the school.
Use straight-line Euclidean travel distances in the plane, with every student travelling from their own town to the school.