The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 56 students, requires 5 chaperones, and costs $1,100 to rent. Each van can transport 7 students, requires 1 chaperone, and costs $80 to rent. Since there are 672 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 672 students. Since only 75 parents have volunteered to serve as chaperones, the officers must plan to use at most 75 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 56 students, requires 5 chaperones, and costs $1,100 to rent. Each van can transport 7 students, requires 1 chaperone, and costs $80 to rent. Since there are 672 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 672 students. Since only 75 parents have volunteered to serve as chaperones, the officers must plan to use at most 75 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 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 56 students,
requires 5 chaperones, and costs $1,100 to rent. Each van can transport 7 students, requires 1 chaperone, and costs $80 to rent.
Since there are 672 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least
672 students. Since only 75 parents have volunteered to serve as chaperones, the officers must plan to use at most 75 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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