The Following Table Shows the Unit Shipping Cost Between Cities,the

Essay

The following table shows the unit shipping cost between cities,the supply at each source city,and the demand at each destination city.The Management Scientist solution is shown.Report the optimal solution. $$\begin{array} { l | c c c c | c } &&\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad { \text { Destination } } & \\{ \text { Source } } & \text { Terre Haute } & \text { Indianapolis } & \text { Ft. Wayne } & \text { South Bend } & \text { Supply } \\\hline \text { St. Louis } & 8 & 6 & 12 & 9 & 100 \\\text { Evansville } & 5 & 5 & 10 & 8 & 100 \\\text { Bloomington } & 3 & 2 & 9 & 10 & 100 \\\hline { \text { Demand } } & 150 & 60 & 45 & 45 &\end{array}$$ TRANSPORTATION PROBLEM
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OBJECTIVE: MINIMIZATION
SUMMARY OF ORIGIN SUPPLIES
******************************** $$\begin{array} { c c } \text { ORIGIN } & \text { SUPPLY } \\-----&-----\\1 & 100 \\2 & 100 \\3 & 100\end{array}$$ SUMMARY OF DESTINATION DEMANDS
*************************************** $$\begin{array} { c c } \text { DESTINATION } & \text { DEMAND } \\\hline 1 & 150 \\2 & 60 \\3 & 45 \\4 & 45\end{array}$$ SUMMARY OF UNIT COST OR REVENUE DATA
********************************************* $$\begin{array} { c c c c r } \text { FROM } && { \text { TO DESTINATION } } \\\text { ORIGIN } & 1 & 2 & 3 & 4 \\\hline1 & 8 & 6 & 12 & 9 \\2 & 5 & 5 & 10 & 8 \\3 & 3 & 2 & 9 & 10\end{array}$$ OPTIMAL TRANSPORTATION SCHEDULE
**************************************** $$\begin{array} {c } \text { SHIP } & & & \\\text { FROM } && { \text { TO DESTINATION } } \\\text { ORIGIN } & 1 & 2 & 3 & 4 \\ \ldots\ldots \ldots & \ldots & \ldots & \ldots & \ldots \\1 & 0 & 10 & 45 & 45 \\2 & 100 & 0 & 0 & 0 \\3 & 50 & 50 & 0 & 0\end{array}$$ TOTAL TRANSPORTATION COST OR REVENUE IS 1755