Find the Minimum Cost Solution for the Transportation Problem Detailed

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.
$$\begin{array} { | l | r | r | r | r | } \hline \text { COSTS } & \text { Dest 1 } & \text { Dest 2 } & \text { Dest 3 } & \text { Supply } \\\hline \text { Source 1 } & 30 & 12 & 5 & 20 \\\hline\text { Source 2 } & 10 & 14 & 12 & 30 \\\hline \text { Source 3 } & 20 & 11 & 25 & 75 \\\hline\text { Dummy } & 0 & 0 & 0 & 30 \\\hline \text { Demand } & 40 & 60 & 55 & 155 \backslash 155 \\\hline\end{array}$$