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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 students, requires 2 chaperones, and costs $1,300 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $100 to rent. Since there are 360 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 360 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 v vans to minimize the 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 students, requires 2 chaperones, and costs $1,300 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $100 to rent. Since there are 360 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 360 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 v vans to minimize the transportation costs.

Practical Management Science
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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The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 40 students, requires 2 chaperones, and costs $1,300 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $100 to rent. Since there are 360 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 360 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 40 students, requires 2 chaperones, and costs $1,300 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $100 to rent. Since there are 360 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 360 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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