Give the Mathematical Formulation of the Linear Programming Problem

question 3

Essay

Give the mathematical formulation of the linear programming problem. Graph the feasible region described by the
constraints and find the corner points. Do not attempt to solve.
-A math camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The monthly salary
of a counselor is $2400 and the 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 at most twice as many
aides as counselors. How many counselors and how many aides should the camp hire to minimize cost?

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Definitions:

Chicago School

An economic perspective that emphasizes free markets, minimal governmental intervention, and the rationality of economic agents, primarily associated with the University of Chicago.

Antitrust Analysis

The examination of business practices and their impact on market competition, often to determine if they comply with antitrust laws.

Restrain Trade

Practices or agreements that restrict competition, often considered illegal under antitrust laws.

Conspiracy

An agreement between two or more parties to commit an illegal act or to use illegal means to achieve a legal end.