The Appleville School District has two high schools, each of which has a capacity of 4000 students. Approximately one-third of the high school students in the district are members of racial minorities. The distrct is divided into four distinct communities. The number of students in each community expected to attend a public high school next year and the distances from the center of each community to each high school are given below. Historically, the two high schools have been racially unbalanced, with school A having a disproportionately high enrollment of minority students and school B having a disproportionately high enrollment of majority students. To satisfy a court agreement to achieve better racial balance between the schools, each high school must have at least 24% and no more than 44% of its enrollment made up of minority students. The school district would like to determine how many students of each type (majority and minority) should be sent from each community to each high school to minimize total student bus miles traveled. Formulate this problem as a linear program.