Draw the Network Representation of the Following Network Flow Problem

question 62

Essay

Draw the network representation of the following network flow problem.
MIN: $\begin{array} { l } 5 \mathbf { X } _ { 1 \mathbf { 4 } } + 3 \mathbf { X } _ { 1 \mathbf { 3 } } + 2 \mathbf { X } _ { 14 } + 3 \mathbf { X } _ { \mathbf { 4 4 } } + 2 \mathbf { X } _ { \mathbf { 3 4 } } \\\end{array}$
Subject to:
$\begin{array} { l } - \mathbf { X } _ { 1 \mathbf { 1 } } - \mathbf { X } _ { 1 \mathbf { 1 } } - \mathbf { X } _ { 14 } = - 10 \\\mathbf { X } _ { 1 \mathbf { 2 } } - \mathbf { X } _ { \mathbf { 2 4 } } = \mathbf { 2 } \\\mathbf { X } _ { 1 \mathbf { 3 } } - \mathbf { X } _ { \mathbf { 3 4 } } = \mathbf { 3 } \\\mathbf { X } _ { 14 } + \mathbf { X } _ { \mathbf { 2 4 } } + \mathbf { X } _ { \mathbf { 3 4 } } = 5 \\\mathbf { X } _ { \mathrm { ij } } \geq \mathbf { a } \text { far all } i \text { and } j\end{array}$

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Definitions:

Forfeiture Rule

The principle that a criminal should not be permitted to profit from a crime.

Criminal's Estate

The assets and properties owned by a criminal, which may be subject to legal action or forfeiture in the event of legal proceedings against the individual.

Negligence Action

A legal lawsuit filed when someone suffers harm due to another's failure to take reasonable care.

Insurable Interest

A vested interest by the policyholder in an insurance policy's subject matter, ensuring they suffer a direct financial loss if the insured event occurs.