The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 72 students, requires 7 chaperones, and costs $1300 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $90 to rent. Since there are 720 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 720 students. Since only 84 parents have volunteered to serve as chaperones, the officers must plan to use at most 84 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 of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 72 students, requires 7 chaperones, and costs $1300 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $90 to rent. Since there are 720 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 720 students. Since only 84 parents have volunteered to serve as chaperones, the officers must plan to use at most 84 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 52SE: A car wash offers the following optional services to the basic wash: clear coat wax, triple foam...
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The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 72 students, requires 7 chaperones, and costs $1300 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $90 to rent. Since there are 720 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 720 students. Since only 84 parents have volunteered to serve as chaperones, the officers must plan to use at most 84 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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