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:

Media Production

The process of producing media content, from conceptualization through to the final output, covering various formats such as film, television, and digital media.

Acquisition Differential

The excess amount paid over the net asset value in a company takeover, reflecting intangibles such as the target's brand, customer relationships, and synergies expected from the merger.

Comparative Consolidated Financial Statements

Financial statements that present the combined financial position and operations of a parent company and its subsidiaries, along with comparative data for previous periods.

Net Income

The amount of profit left over after all expenses, taxes, and costs have been subtracted from total revenue.