Draw the Network for This Transportation Problem

Essay

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