Foster Generators, Inc. has three plants - Cleveland, Bedford and York, and four distribution centers Boston, Chicago, St. Louis and Lexington. The production capacity at each plant and demand forecast for each distribution center are given in the following tables:

There are a variety of shipping routes for the plants to satisfy demands at the distribution center. The transportation cost from each plant to each distribution center is given in the following table:

Suppose that the unit price earned at each distribution center is the same and Foster Generators is for-profit. Use greedy heuristics to develop a transportation solution for Foster Generators.

\begin{tabular}{|c|c|} \hline Plant & ProductionCapacity \\ \hline Cleveland & 5,000 \\ \hline Bedford & 6,000 \\ \hline York & 2,500 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline DistributionCenter & Demand Forecast \\ \hline Boston & 6,000 \\ \hline Chicago & 4,000 \\ \hline St. Louis & 2,000 \\ \hline Lexington & 3,500 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|} \hline \$/unit & Boston & Chicago & St. Louis & Lexington \\ \hline Cleveland & 3.4 & 2.8 & 7.1 & 6.9 \\ \hline Bedford & 7.5 & 5.2 & 2.2 & 3.1 \\ \hline York & 2.4 & 3.7 & 4.5 & 5.6 \\ \hline \end{tabular}