For problems 3-5 A math camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors 3. Write the system of linear inequalities and the equation to be maximized for the problem above. 4. Graph the system of inequalities and find all the corner points. 5. How many counselors and how many aides should the camp hire to minimize cost? (answer must be in a full sentence)
For problems 3-5 A math camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors 3. Write the system of linear inequalities and the equation to be maximized for the problem above. 4. Graph the system of inequalities and find all the corner points. 5. How many counselors and how many aides should the camp hire to minimize cost? (answer must be in a full sentence)
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter2: Equations, Inequalities, And Problem Solving
Section2.CM: Cumulative Review Problem Set
Problem 34CM
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Question
![For problems 3-5 A math camp wants to hire counselors and aides to fill its
staffing needs at minimum cost. The average monthly salary of a counselor is
$2400 and the average monthly salary of an aide is $1100. The camp can
accommodate up to 45 staff members and needs at least 30 to run properly.
They must have at least 10 aides, and may have up to 3 aides for every 2
counselors.
3. Write the system of linear inequalities and the equation to be maximized for the
problem above.
4. Graph the system of inequalities
and find all the corner points.
5. How many counselors and how many aides should the camp hire to minimize
cost? (answer must be in a full sentence)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a5a24b3-4e3a-42cd-b27f-f992448f1f33%2Fb2841262-7538-4e0b-adb6-50ed9ac685dc%2Fnj2ggq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For problems 3-5 A math camp wants to hire counselors and aides to fill its
staffing needs at minimum cost. The average monthly salary of a counselor is
$2400 and the average monthly salary of an aide is $1100. The camp can
accommodate up to 45 staff members and needs at least 30 to run properly.
They must have at least 10 aides, and may have up to 3 aides for every 2
counselors.
3. Write the system of linear inequalities and the equation to be maximized for the
problem above.
4. Graph the system of inequalities
and find all the corner points.
5. How many counselors and how many aides should the camp hire to minimize
cost? (answer must be in a full sentence)
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