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

question 64

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

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Definitions:

Elastic

A term used to describe the sensitivity of the quantity demanded or supplied of a good or service to a change in its price.

Quantity Demanded

The specific amount of a product that buyers are willing and able to purchase at a given price.

Inelastic

Characterized by a low responsiveness of quantity demanded or supplied when there is a price change, signifying that changes in price have minimal impact on consumers' purchasing behavior.

Price Elastic

Describes a situation where the demand or supply of a good or service is highly sensitive to changes in price.