The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 54 students, requires 4 chaperones, and costs $1,300 to rent Each van can transport 9 students, requires 1 chaperone, and costs $80 to rent. Since there are 540 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 540 students. Since only 48 parents have volunteered to serve as chaperones, the officers must plan to use at most 48 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....
icon
Related questions
icon
Concept explainers
Question
Strictly homework not quiz, this a two part question, how many vans and buses and then the cost :)
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 54 students, requires 4 chaperones, and costs $1,300 to rent Each van can transport 9 students, requires 1 chaperone, and costs $80
to rent. Since there are 540 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 540 students. Since only 48 parents have volunteered to serve as chaperones, the officers must plan to use at
most 48 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 54 students, requires 4 chaperones, and costs $1,300 to rent Each van can transport 9 students, requires 1 chaperone, and costs $80 to rent. Since there are 540 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 540 students. Since only 48 parents have volunteered to serve as chaperones, the officers must plan to use at most 48 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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning