The Hills County, Michigan, superwtendent 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, A-E, 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 wil minimize the total number of student 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 tn bus him because he can walk to school. The three schools are located in sectors B, C and E