The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 80 students, requires 6 chaperones, and costs $1,000 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $90 to rent. Since there are 640 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 640 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.
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 80 students, requires 6 chaperones, and costs $1,000 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $90 to rent. Since there are 640 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 640 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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
Related questions
Question
100%
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 80 students, requires 6 chaperones, and costs
$1,000 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $90 to rent. Since there are 640 students in the senior class that may be eligible to
go on the trip, the officers must plan to accommodate at least 640 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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 3 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell