At Allegany College of Maryland freshman need to take a 100 level Math and English plus optional Philosophy course. In any quarter the college needs to make available 4 less English sections than Math sections. In any quarter student demand for the optional Philosophy course is half as many sections as English sections. Available classrooms limit the total sections of all three courses to 79 Given these constraints how many sections of each course should the college make available each quarter to meet demand? Math sections English sections Philosophy sections

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 43E: Agriculture A fruit grower raises crops A and B. The yield is 300 bushels per acre for crop A and...
icon
Related questions
Topic Video
Question
At Allegany College of Maryland freshman need to take a 100 level Math and English plus optional
Philosophy course.
In any quarter the college needs to make available 4 less English sections than Math sections.
In any quarter student demand for the optional Philosophy course is half as many sections as English
sections.
Available classrooms limit the total sections of all three courses to 79
Given these constraints how many sections of each course should the college make available each quarter
to meet demand?
Math sections
English sections
Philosophy sections
Transcribed Image Text:At Allegany College of Maryland freshman need to take a 100 level Math and English plus optional Philosophy course. In any quarter the college needs to make available 4 less English sections than Math sections. In any quarter student demand for the optional Philosophy course is half as many sections as English sections. Available classrooms limit the total sections of all three courses to 79 Given these constraints how many sections of each course should the college make available each quarter to meet demand? Math sections English sections Philosophy sections
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning