At Edmonds Community College freshman need to take a 100 level Math and English plus optional Philosophy course. In any quarter the college needs to make available 8 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 78 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

ECON MICRO
5th Edition
ISBN:9781337000536
Author:William A. McEachern
Publisher:William A. McEachern
Chapter5: Elasticity Of Demand And Supply
Section: Chapter Questions
Problem 1.1P: (Calculating Price Elasticity of Demand) Suppose that 50 units of a good are demanded at a price of...
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At Edmonds Community College freshman need to take a 100 level Math and English plus optional Philosophy course.

In any quarter the college needs to make available 8 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 78

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

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