The Arden County, Maryland, superintendent of education is responsible for assigning students
to the three high schools in his county. He recognizes the need to bus a certain number of
students, for several sectors of the county are beyond walking distance to a school. The
superintendent partitions the county into five geographic sectors as he attempts to establish a
plan that will minimize the total number of students miles traveled by bus. He also recognizes
that if a student happens to live in a certain sector and is assigned to the high school in that
sector, there is no need to bus him because he can walk to school. The three schools are located
in Sectors B, C, and E.