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

question 46

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.  Destination  Source  Terre Haute  Indianapolis  Ft. Wayne  South Bend  Supply  St. Louis 86129100 Evansville 55108100 Bloomington 32910100 Demand 150604545\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
********************************  ORIGIN  SUPPLY 110021003100\begin{array} { c c } \text { ORIGIN } & \text { SUPPLY } \\-----&-----\\1 & 100 \\2 & 100 \\3 & 100\end{array} SUMMARY OF DESTINATION DEMANDS
***************************************  DESTINATION  DEMAND 1150260345445\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
*********************************************  FROM  TO DESTINATION  ORIGIN 1234186129255108332910\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
****************************************  SHIP  FROM  TO DESTINATION  ORIGIN 12341010454521000003505000\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


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