Find the Minimum Cost Solution for the Transportation Problem Detailed

question 7

Essay

Find the minimum cost solution for the transportation problem detailed in the table below. Explain carefully the meaning of any quantity in a "dummy" row or column.
$$\begin{array} { | l | r | r | r | r | } \hline \text { COSTS } & \text { Dest 1 } & \text { Dest 2 } & \text { Dest 3 } & \text { Supply } \\\hline \text { Source 1 } & 30 & 12 & 5 & 20 \\\hline\text { Source 2 } & 10 & 14 & 12 & 30 \\\hline \text { Source 3 } & 20 & 11 & 25 & 75 \\\hline\text { Dummy } & 0 & 0 & 0 & 30 \\\hline \text { Demand } & 40 & 60 & 55 & 155 \backslash 155 \\\hline\end{array}$$

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Definitions:

Personal Preferences

Individual likes or choices regarding various aspects of life, shaped by personal experiences, beliefs, or innate tendencies.

Inductive Organization

A method of organization where specific examples or details are presented before leading to a general conclusion or statement.

Competing Values Framework

A model used to assess and categorize organizational culture and leadership based on conflicting values.

Market Culture

An organizational culture focused on competitive positioning and meeting market needs, characterized by a strong emphasis on results and customers.