Find the Minimum Cost Shipping Solution for the Transportation Problem

Essay

Find the minimum cost shipping solution for the transportation problem data set in the table below. Provide a table of shipping quantities and the minimum value for the objective function.
$$\begin{array} { | l | r | r | r | } \hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Supply } \\\hline \text { Source 1 } & 6 & 10 & 20 \\\hline\text { Source 2 } & 8 & 3 & 30 \\\hline \text { Source 3 } & 4 & 6 & 15 \\\hline\text { Source 4 } & 12 & 11 & 20 \\\hline \text { Source 5 } & 7 & 9 & 25 \\\hline \text { Demand } & 70 & 40 & 110 \backslash 110 \\\hline\end{array}$$