Use Graphical Methods to Solve the Linear Programming Problem

question 36

Multiple Choice

Use graphical methods to solve the linear programming problem.
-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. How many counselors and how many aides should the camp hire to
Minimize cost?

• A) 27 counselors and 18 aides
• B) 18 counselors and 12 aides
• C) 35 counselors and 10 aides
• D) 12 counselors and 18 aides

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Definitions:

Perfectionism

The pursuit of flawlessness, setting excessively high performance standards, accompanied by overly critical self-evaluations and concerns regarding others' evaluations.

High Self-Esteem

Refers to a positive and confident perception of oneself, marked by respect for and acceptance of one's self.

Binge Eating Disorder

A serious eating disorder characterized by recurrent episodes of eating large quantities of food, often quickly and to the point of discomfort.

Anorexia Nervosa

An eating disorder characterized by an intense fear of gaining weight and a distorted body image, leading to severe restriction of food intake.