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:

Moral Orientation

An individual's inherent or learned disposition towards understanding, interpreting, and acting upon moral issues.

Care

Delivering the essentials for ensuring the health, welfare, upkeep, and safety of a person or entity.

Justice

The ethical principle that requires that risks and benefits of research participation must be spread equitably across individuals and groups.

Postconventional Moral Reasoning

Kohlberg’s third level of moral reasoning emphasizing autonomous decision-making based on principles such as valuing human dignity.