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 $80 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 eac 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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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 $80 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 $80 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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