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. $$\begin{array} { l | c c c c | c } &&\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad { \text { Destination } } & \\{ \text { Source } } & \text { Terre Haute } & \text { Indianapolis } & \text { Ft. Wayne } & \text { South Bend } & \text { Supply } \\\hline \text { St. Louis } & 8 & 6 & 12 & 9 & 100 \\\text { Evansville } & 5 & 5 & 10 & 8 & 100 \\\text { Bloomington } & 3 & 2 & 9 & 10 & 100 \\\hline { \text { Demand } } & 150 & 60 & 45 & 45 &\end{array}$$ 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

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Definitions:

Scientific Method

A systematic process for experimentation that is used to explore observations and answer questions.

Hand Hygiene

The practice of cleaning hands to prevent the spread of germs and infections, typically by washing with soap and water or using hand sanitizer.

Diagnostic Reasoning

The process by which healthcare professionals use a patient's history, physical examination findings, and diagnostic tests to establish a diagnosis.

Scientific Method

A systematic approach to research and experimentation used to explore observations and answer questions.