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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