Solve the Following Problem by the Simplex Method

question 17

Essay

Solve the following problem by the simplex method.
Max
14x₁ + 14.5x₂ + 18x₃
s.t.
x₁ + 2x₂ + 2.5x₃ ≤ 50
x₁ + x₂ + 1.5x₃ ≤ 30
x₁ , x₂ , x₃ ≥ 0

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Definitions:

Groupthink

A psychological phenomenon that occurs within a group of people, where the desire for harmony or conformity results in an irrational or dysfunctional decision-making outcome.

Free-Riding

The act of taking advantage of others' efforts or contributions without offering one's own share or effort, particularly in a cooperative environment or group setting.

Groupthink

A psychological phenomenon that occurs within a group of people when the desire for harmony in decision-making results in an irrational or dysfunctional decision outcome.

Internal Auditors

Professionals who conduct audits within an organization to assess the effectiveness, efficiency, and compliance of its operations, processes, and controls.