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

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The officers of a high school senior class are planning to rentbuses and vans for a class trip. Each bus can transport 35students, requires 3 ​chaperones, and costs ​$ 1,200 to rent. Eachvan can transport 7 ​students, requires 1​ chaperone, and costs ​$90 to rent. Since there are 280 students in the senior class thatmay be eligible to go on the​ trip, the officers must plan toaccommodate at least 280 students. Since only 30 parents havevolunteered to serve as​ chaperones, the officers must plan to useat most 30 chaperones. How many vehicles of each type should theofficers rent in order to minimize the transportation​ costs? Whatare the minimal transportation​ costs?

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