Use Graphical Methods to Solve the Linear Programming Problem

question 36

Multiple Choice

Use graphical methods to solve the linear programming problem.
-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. How many counselors and how many aides should the camp hire to
Minimize cost?

• A) 27 counselors and 18 aides
• B) 18 counselors and 12 aides
• C) 35 counselors and 10 aides
• D) 12 counselors and 18 aides

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Definitions:

Monopolistic Competition

A market framework where multiple companies distribute products that are akin to each other but not copies, thus granting them a degree of power within the market.

Excess Capacity

A situation where a company or economy can produce more goods or services than currently demanded, often leading to inefficiency and lower prices.

Excess Capacity

A scenario where a firm or industry has unused production resources, leading to inefficiencies and lowered profitability.

Productive Inefficiency

A situation where resources are not used in the most cost-effective way, resulting in a higher production cost than necessary.