Draw the Network Representation of This LP Model $\quad$ $X_{41}$

question 5

Essay

Draw the network representation of this LP model. What type of problem is it?
MAX $\quad$ $X_{41}$
Subject to:
$\begin{array}{l}\mathrm{X}_{41}-\mathrm{X}_{12}-\mathrm{X}_{13}=0 \\\mathrm{X}_{12}-\mathrm{X}_{24}=0 \\\mathrm{X}_{13}-\mathrm{X}_{34}=0 \\\mathrm{X}_{24}+\mathrm{X}_{34}-\mathrm{X}_{41}=0 \\0 \leq \mathrm{X}_{12} \leq 5 \\0 \leq X_{13} \leq 4 \\0 \leq X_{24} \leq 3 \\0 \leq X_{34} \leq 2 \\0 \leq X_{41} \leq \infty\end{array}$

---

Definitions:

Business Law

A branch of law that deals with the rights, relations, and conduct of individuals and businesses engaged in commerce, merchandising, trade, and sales.

Corporations

Legal entities that are separate from their owners, with the ability to own assets, incur liabilities, and conduct business.

Liable

Legally responsible or obligated.

Preponderance Of The Evidence

The standard of proof in civil cases, requiring that a claim is more likely to be true than not true.