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

question 10

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: $$\begin{array}{l}\begin{array} { c | c c c } && { \text { Destination } } \\\text { Origin } & \mathrm { X } & \mathrm { Y } & \mathrm { Z } \\\hline \mathrm { A } & 3 & 2 & 5 \\\mathrm {~B} & 9 & 10 & - \\\mathrm { C } & 5 & 6 & 4\end{array}\\\text { (Source B cannot ship to destination Z) }\end{array}$$

---

Definitions:

Private Property

Land or possessions owned by individuals or corporations, not by the government or public as a whole.

Equal Protection

A legal principle under the Fourteenth Amendment of the U.S. Constitution, ensuring that no state shall deny to any person within its jurisdiction the equal protection of the laws.

Suspect Class

A category of individuals that is treated differently based on characteristics that the law deems inherently suspect, requiring strict scrutiny by courts.

Rigorous Test

A highly strict or demanding evaluation designed to thoroughly assess the quality, performance, or reliability of something.