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:

Supreme Court

The highest judicial body in a country, typically having the ultimate authority in interpreting the constitution and laws.

Police Corruption

The abuse of police authority for personal gain or to gain advantage for the police organization.

Code Of Silence

A cultural norm among certain groups, particularly in law enforcement or other organizations, not to report on a colleague's errors, misconduct, or crimes.

Civilian Review Bodies

Organizations or boards established to oversee and review the conduct of law enforcement agencies, aiming to increase accountability and transparency.