J K L H G F E B C D Problem 5-12 Flow balance equations Flow in Flow out Netflow Sign RHS School B School C School E Flow out Students From Sector A Sector B Sector Sector D Sector E Flow in Location Sector A Sector B Sector C Sector D Sector E School B School School E School B School C School E Distances: From Sector A Sector Sector Tabstudent miles The Oconee County, South Carolina, superintendent of education is responsible for assigning students to the three high schools in his county. A certain number of students have to travel to and from school by bus, as several sectors of the county are beyond walking distance from 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 student miles traveled by bus. Of course, 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 that student because he or she can walk to school. The three schools are located in sectors B, C, and E. The best the top of the next page reflects the number of high-school-age students living in each Sector and the distance, in miles from each sector to each school. Assuming that each high school has a capacity of 1,100 students, set up and solve Oconee County's problem as a transportation model Sector Distance to Schools in Mies Sector Sector Sector Number of Students 200 10 600 400 700 500