Solve the Linear Programming Problem $\$ 2400$ , and the Average Monthly Salary of an Aide Is

Solve the linear programming problem.
-A summer 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 35 staff members and needs at least 20 to run properly. The camp 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) 13 counselors and 16 aides
B) 13 counselors and 17 aides
C) 8 counselors and 12 aides
D) 19 counselors and 23 aides