Solve the Linear Programming Problem

question 466

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 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

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Definitions:

Multivariate Analysis

A set of statistical techniques used for analysis of data that involves multiple variables to understand relationships and patterns.

Contingency Approach

A management theory that suggests the most appropriate management style or approach depends on the specific aspects of the situation at hand.

Chaos Theory

A branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions, often leading to unpredictable and complex outcomes.

Purely Situational Approach

A viewpoint emphasizing that behavior or decisions should be based solely on the specifics of the situation, rather than on general principles or theories.