The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 64 students, requires 3 chaperones, and costs $1,300 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $80 to rent. Since there are 512 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 512 students. Since only 39 parents have volunteered to serve as chaperones, the officers must plan to use at most 39 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent buses and vans to minimize the transportation costs.

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