Consider the Transportation Problem in the Data Set and Optimal

question 58

Essay

Consider the transportation problem in the data set and optimal solution below. Verify by hand or by calculator (show your work) the value of the objective function.
$\begin{array}{|l|r|r|r|r|r|}\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest 4 } & \text { Supply } \\\hline \text { Source 1 } & 12 & 18 & 9 & 11 & 100 \\\hline\text { Source 2 } & 21 & 7 & 30 & 15 & 150 \\\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \\\hline\text { Demand } & 80 & 60 & 70 & 90 & 300/300 \\\hline & & & & & \\\hline \text { Shipments } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text {Row Total } \\\text { Source 1 } & 30 & 0 & 70 & 0 & 100 \\\text { Source 2 } & 0 & 60 & 0 & 90 & 150 \\\text { Source 3 } & 50 & 0 & 0 & 0 & 50 \\\text { Col. Total } & 80 & 60 & 70 & 90 & 300/300 \\\hline\end{array}$

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Definitions:

Joint Decision Making

A process in which multiple parties collaborate to make a decision, often seen in families or organizations.

Autonomous Decision Making

The ability to make decisions independently, without needing approval or oversight from others, often referring to individuals or autonomous systems.

Consumer Purchase Decision

The process by which individuals select, purchase, and use goods and services, influenced by internal and external factors.

Opinion Leader

An individual or organization that has the ability to influence the attitudes or behaviors of others, typically within a specific community or market segment.