A metropolitan school district has two overcrowded high schools and two underenrolled high…

A metropolitan school district has two overcrowded high schools and two underenrolled high schools. To balance the enrollment, the school board decided to bus students from the overcrowded schools to the underenrolled 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 underenrolled school in order to balance the enrollment and minimize the cost of busing the students. What is the minimum cost?

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