Write the Dual of the Following Problem
Min Z
= $\ge$

question 7

Essay

Write the dual of the following problem
Min Z
= 2x₁ -3x₂ + 5x₃
s.t.
-3x₁ + 2x₂ + 5x₃ $\ge$ 7
2x₁ -x₃ $\ge$ 5
4x ₂ + 3x₃ $\ge$ 8.

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Definitions:

Ketone Bodies

Metabolic products produced during fatty acid metabolism, used by some tissues as an energy source when glucose is not available.

Beta Oxidation

A metabolic process in which fatty acids are broken down in the mitochondria to generate acetyl-CoA, a substrate for the citric acid cycle.

Acetyl CoA

A critical molecule involved in metabolism, linking the breakdown of carbohydrates, fats, and proteins to energy production.

Oxaloacetate

A four-carbon molecule that participates in the citric acid cycle and gluconeogenesis within cells.