Canning Transport Is to Move Goods from Three Factories (Origins)

Essay

Canning Transport is to move goods from three factories (origins) to three distribution centers (destinations). Information about the move is given below. Solve the problem using the transportation simplex method and compute the total shipping cost. $$\begin{array} { c c | c c } \text { Origin } & \text { Sapply } & \text { Destination } & \text { Denand } \\\hline \text { A } & 200 & \mathrm { X } & 50 \\\mathrm {~B} & 100 & \mathrm { Y } & 125 \\\mathrm { C } & 150 & \mathrm { Z } & 125\end{array}$$ Shipping costs are: $$\begin{array}{l}\begin{array} { c | c c c } && { \text { Destination } } \\\text { Origin } & \mathrm { X } & \mathrm { Y } & \mathrm { Z } \\\hline \mathrm { A } & 3 & 2 & 5 \\\mathrm {~B} & 9 & 10 & - \\\mathrm { C } & 5 & 6 & 4\end{array}\\\text { (Source B cannot ship to destination Z) }\end{array}$$