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 3 chaperones, and costs $1,300 to rent. Each van can transport 9students, requires 1 chaperone, and costs $80 to rent. Since there are 567 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 567 students. Sinceonly 39 parents have volunteered to serve as chaperones, the officers must plan to use at most 39 chaperones. How many vehicles of each type should the officers rent in order to minimize thetransportation costs? What are the minimal transportation costs?The officers should rent buses andvans to minimize the transportation costs

The objective here is to find how many number of each type should the officers rent in order to…

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 72 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $120 to rent. Since there are 432 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 432 students. Since only 50 parents have volunteered to serve as chaperones, the officers must plan to use at most 50 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 The minimal transportation costs are $ vans to minimize the transportation costs.
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