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In: Advanced Math

The officers of a high school senior class are planning to rent buses and vans for...

The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 35 students, requires 3 ​chaperones, and costs ​$ 1,200 to rent. Each van can transport 7 ​students, requires 1​ chaperone, and costs ​$ 90 to rent. Since there are 280 students in the senior class that may be eligible to go on the​ trip, the officers must plan to accommodate at least 280 students. Since only 30 parents have volunteered to serve as​ chaperones, the officers must plan to use at most 30 chaperones. 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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