Write the Dual to the Following Problem

question 10

Essay

Write the dual to the following problem.
Min
12x₁ + 15x₂ + 20x₃ + 18x₄
s.t.
x₁ + x₂ + x₃ + x₄ ≥ 50
3x₁ + 4x₃ ≥ 60
2x₂ + x₃ − 2x₄ ≤ 10
x₁, x₂, x₃, x₄ ≥ 0

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Definitions:

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A term referring to societies influenced by European cultures, emphasizing historical developments and cultural norms originating in Western Europe.

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The study of fundamental questions about existence, knowledge, values, reason, mind, and language.

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