Quinlan Electric ships 12,000 transformers per month to its customers. The transformers can be produced at 3 different plants. The capacity, fixed cost and variable costs are included in the data file below. If the plant is used at all, at least 3,000 transformers must be produced. If the plant is idle the fixed costs are 0. Determine how to minimize the companys monthly costs of meeting its customers demands.

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Transformer data - Problem 2 \begin{tabular}{|l|r|r|r|} \hline & Plant 1 & Plant 2 & Plant 3 \\ \hline Fixed cost & $80,000 & $40,000 & $30,000 \\ \hline Variable cost & $20 & $25 & $30 \\ \hline Production capacity & 6000 & 7000 & 6000 \\ \hline \end{tabular}