Draw the Network for This Transportation Problem

Essay

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