Draw the Network Representation of the Following Network Flow Problem

question 54

Essay

Draw the network representation of the following network flow problem.
MIN: ^{5 X}₁₂ ^{+ 3 X}₁₃ ^{+ 2 X}₁₄ ^{+ 3 X}₂₄ ^{+ 2 X}₃₄
Subject to: ^−X₁₂ ^{− X}₁₃ ^{− X}₁₄ ^{= −10}
X₁₂ − X₂₄ = 2 X₁₃ − X₃₄ = 3
X₁₄ + X₂₄ + X₃₄ = 5
X_ij ≥ 0 for all i and j

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Definitions:

Severe Pain

An intense and often debilitating level of discomfort that can significantly impair an individual's quality of life and functionality.

Schizophrenia

A chronic brain disorder characterized by hallucinations, delusions, and disordered thinking and behavior.

Psychotic Disorder

A mental health condition characterized by a disconnection from reality, which may include delusions, hallucinations, and disorganized thinking.

Delusions

Strongly held beliefs in something that is clearly not true or based on reality, often a symptom of psychiatric disorders.