Solve the Linear Programming Problem

question 52

Multiple Choice

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 17 aides
• B) 13 counselors and 16 aides
• C) 19 counselors and 23 aides
• D) 8 counselors and 12 aides

---

Definitions:

Contribution Margin Ratio

The percentage of each sales dollar remaining after variable costs have been subtracted, indicating how much contributes to covering fixed costs and generating profit.

Fixed Costs

Costs that do not vary with the level of production or sales, including rent, salaries, and insurance premiums.

Break-even

The point at which total costs and total revenues are equal, resulting in no net loss or gain for a business.

Sales

The total revenue generated from selling goods or services over a certain period.