How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 86P
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Question
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 45 students, requires 2 chaperones, and costs $1,200 to rent. Each van can transport 9 students, requires 1 chaperone, and costs $90 to rent. Since there are 315 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 315 students. Since only 20 parents have volunteered to serve as chaperones, the officers must plan to use at most 20 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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