Draw the Network for This Transportation Problem

question 56

Essay

Draw the network for this transportation problem.
$$\begin{array} { l l } \text { Min } & 2 X _ { A X } + 3 X _ { A Y } + 5 X _ { A Z } + 9 X _ { B X } + 12 X _ { B Y } + 10 X _ { B Z } \\\text { s.t. } & X _ { A X } + X _ { A Y } + X _ { A Z } \leq 500 \\& X \mathrm { BX } + X _ { B Y } + X _ { B Z } \leq 400 \\& X _ { A X } + X _ { B X } \quad = 300 \\& X _ { A Y } + X _ { B Y } \quad = 300 \\& X _ { A Z } + X _ { B Z } \quad = 300 \\& \quad X _ { \mathrm { B } } \geq 0\end{array}$$

---

Definitions:

Functions

Refers to the specific roles or activities that an entity (such as a system, organ, or component) is designed or naturally evolved to perform.

Activation

The process of making something active or operative, especially in the context of biological and psychological mechanisms.

Living Brain

Refers to the functioning brain as it operates within a living organism, emphasizing its active processes and capabilities.

Skull

The bony structure that forms the head in vertebrates, housing and protecting the brain.