The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 50 students, requires 2 chaperones, and costs $1,200 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $110 to rent. Since there are 450 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 450 students. Since only 24 parents have volunteered to serve as chaperones, the officers must plan to use at most 24 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.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
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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 50 students, requires 2 chaperones, and costs
$1,200 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $110 to rent. Since there are 450 students in the senior class that may be eligible
to go on the trip, the officers must plan to accommodate at least 450 students. Since only 24 parents have volunteered to serve as chaperones, the officers must plan
to use at most 24 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 50 students, requires 2 chaperones, and costs $1,200 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $110 to rent. Since there are 450 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 450 students. Since only 24 parents have volunteered to serve as chaperones, the officers must plan to use at most 24 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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