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 45 staff members and needs at least 30 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) 12 counselors and 18 aides
B) 18 counselors and 12 aides
C) 27 counselors and 18 aides
D) 35 counselors and 10 aides

Question

Quizplus · Accepted Answer

The camp should hire 12 counselors and 18 aides to minimize costs while meeting all constraints: 30 staff minimum, at least 10 aides, and no more than 3 aides per 2 counselors.

Solve the Linear Programming Problem