stThe 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 6 chaperones, and costs $1,000 to rent. Each van cantransport 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 atleast 672 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 inorder to minimize the transportation costs? What are the minimal transportation costs?The officers should rent buses and vans to minimize the transportation costsCO

The given problem is a LP problem. Let, X represent busses and Y represent vans.

Answered: The officers of a high school senior…

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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The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 70 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $90 to rent. Since there are 700 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 700 students. Since only 60 parents have volunteered to serve as chaperones, the officers must plan to use at most 60 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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