The Following Table Shows the Unit Shipping Cost Between Cities

question 24

Essay

The following table shows the unit shipping cost between cities, the supply at each origin city, and the demand at each destination city. Solve this minimization problem using the transportation simplex method and compute the optimal total cost. $$\begin{array} { l | c c c c | c } &&&{ \text { Destination } } & \\\text { Origin } & \text { Terre Haute } & \text { Indianapolis } & \text { Ft. Wayne } & \text { South Bend } & \text { Supply } \\\hline \text { St. Louis } & 8 & 6 & 12 & 9 & 100 \\\text { Evansville } & 5 & 5 & 10 & 8 & 100 \\\text { Bloomington } & 3 & 2 & 9 & 10 & 100 \\\hline \text { Demand } & 150 & 60 & 45 & 45 &\end{array}$$

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Definitions:

Formed Elements

Cells (i.e., red and white blood cells) and cell fragments (i.e., platelets) of blood.

Leukocytes

White blood cells that are part of the body's immune system, involved in protecting the body against both infectious disease and foreign invaders.

Erythrocytes

Red blood cells, which are responsible for carrying oxygen from the lungs to all parts of the body and returning carbon dioxide to the lungs for expulsion.

Thrombocytes

Also known as platelets, are blood cells involved in clot formation to prevent bleeding.