Write the Dual of the Following Problem

question 5

Essay

Write the dual of the following problem
Min Z
= 2x₁ − 3x₂ + 5x₃
s.t.
−3x₁ + 2x₂ + 5x₃ ≥ 7
2x₁ − x₃ ≥ 5
4x ₂ + 3x₃ ≥ 8.

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Definitions:

Group Spirit

The sense of solidarity, enthusiasm, and loyalty shared by members within a group, team, or community.

Deliberate

To think about or discuss something very carefully in order to make a decision.

Controlled Mind

The state of consciously regulating thoughts, emotions, and actions through mental processes and self-discipline.

Automatic Mind

Refers to the unconscious processing in the brain that guides most of our behaviors and decisions without deliberate thought.