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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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