The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 60 students, requires 3 chaperones, and costs $1200 to rent. Each van can transport 12
students, requires 1 chaperone, and costs $150 to rent. Since there are 900 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 900 students. Since only 51parents have volunteered to serve as chaperones, the officers must plan to use at most 51chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
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