Repeat Problem 53 if the weekly cost of busing a student from North Division to Washington is $7 and all other data remain the same.
Problem 53
A metropolitan school district has two overcrowded high schools and two under enrolled high schools. To balance the enrollment, the school board decided to bus students from the overcrowded schools to the under enrolled schools. North Division High School has 300 more students than normal, and South Division High School has 500 more students than normal. Central High School can accommodate 400 additional students, and Washington High School can accommodate 500 additional students. The weekly cost of busing a student from North Division to Central is $5, from North Division to Washington is $2, from South Division to Central is $3, and from South Division to Washington is $4. Determine the number of students that should be bused from each overcrowded school to each under enrolled school in order to balance the enrollment and minimize the cost of busing the students. What is the minimum cost?