3-46 A school district must determine which students from each of the four attendance zones will attend which of the three high schools. The north attendance zone is 8 miles from Central High School, 4 miles from Northwestern High School, and 16 miles from Southeastern High School. All ofthe distances (in miles) are shown in the following table.\table[[ATTENDANCE ZONE,NORTH,SOUTH,EAST,WEST],[Central High School,8,5,5,11],[Northwestern High,4,17,15,6],[School,,,,],[Southeastern High School,16,6,6,18],[Number of Students,903,741,923,793]]Each school can have as many as 1,200 students enrolled. The school district would like to make the allocation of students to schools that will minimize the number of miles necessary to transport the students.