(Solved): For problems \( 3.5 \) A math camp wants to hire counselors and aides to fill its staffing needs at ...

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 th problem above. 4. Graph the system of inequalities and find all the corner points. How many counselors and how many aldes should the camp hire to minimize cost? (answer must be in a full sentence)