The Following Table Shows the Unit Shipping Cost Between Cities

question 17

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. $$\begin{array} { l | c c c c | c } & && { \text { Destination } } & \\\text { Source } & \text { Terre Haute } & \text { Indianapolis } & \text { Ft. Wayne } & \text { South Bend } & \text { Supply } \\\hline \text { St. Louis } & 8 & 6 & 12 & 9 & 100 \\\text { Evansville } & 5 & 5 & 10 & 8 & 100 \\\text { Bloomington } & 3 & 2 & 9 & 10 & 100 \\\hline \text { Dem and } & 150 & 60 & 45 & 45 &\end{array}$$ TRANSPORTATION PROBLEM
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OBJECTIVE: MINIMIZATION
SUMMARY OF ORIGIN SUPPLIES
****************************** $$\begin{array} { c c } \text { ORIGIN } & \text { SUPPLY } \\\hline 1 & 100 \\2 & 100 \\3 & 100\end{array}$$ 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
******************************************* $\begin{array}{rrrrr}\text { FROM } & {\text { TO DESTINATION }} \\\text { ORIGIN } & 1 & 2 & 3 & 4 \\1 & 8 & 6 & 12 & 9 \\2 & 5 & 5 & 10 & 8 \\3 & 3 & 2 & 9 & 10\end{array}$ OPTIMAL TRANSPORTATION SCHEDULE
************************************** $\begin{array}{rrrrr}\text { SHIP }\\\text { FROM } & {\text { TO DESTINATION }} \\\text { ORIGIN } & 1 & 2 & 3 & 4 \\1 & 0 & 10 & 45 & 45 \\2 & 100 & 0 & 0 & 0 \\3 & 50 & 50 & 0 & 0\end{array}$ TOTAL TRANSPORTATION COST OR REVENUE IS 1755

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Definitions:

Broken Glass

Typically refers to glass that has been shattered or fractured, often symbolizing damage or destruction.

Mnemonic Devices

Strategies a person can adopt to better their capacity for remembering information.

Proactive Interference

The tendency for older memories to interfere with the retrieval of newer memories.

Memory Construction

The process of forming and organizing new memories, which involves encoding, consolidation, and retrieval.