Canning Transport Is to Move Goods from Three Factories to Three

Canning Transport is to move goods from three factories to three distribution centers. Information about the move is given below. Give the network model and the linear programming model for this problem. $$\begin{array} { c c | c c } \text { Source } & \text { Supply } & \text { Destination } & \text { Demand } \\\hline \text { A } & 200 & \mathrm { X } & 50 \\\text { B } & 100 & \mathrm { Y } & 125 \\\text { C } & 150 & \mathrm { Z } & 125\end{array}$$ Shipping costs are: $$\begin{array}{l}\begin{array} { c | c c c } && { \text { Destination } } \\\text { Source } & \mathrm { X } & \mathrm { Y } & \mathrm { Z } \\\hline \text { A } & 3 & 2 & 5 \\\text { B } & 9 & 10 & - \\\text { C } & 5 & 6 & 4\end{array}\\\text { (Source B cannot ship to destination Z) }\end{array}$$