The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 63 students, requires 6 chaperones, and costs $1,100 to rent. Each van can transport 9 students, requires 1 chaperone, and costs $90 to rent. Since there are 819 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 819 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 should rent buses and vans to minimize the transportation costs.

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ISBN:9780470458365
Author:Erwin Kreyszig
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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 63 students, requires 6 chaperones, and costs
$1,100 to rent. Each van can transport 9 students, requires 1 chaperone, and costs $90 to rent. Since there are 819 students in the senior class that may be eligible
to go on the trip, the officers must plan to accommodate at least 819 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 should rent
buses and
vans to minimize the transportation costs.
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 63 students, requires 6 chaperones, and costs $1,100 to rent. Each van can transport 9 students, requires 1 chaperone, and costs $90 to rent. Since there are 819 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 819 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 should rent buses and vans to minimize the transportation costs.
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