A contractor builds two types of homes. The first type requires one lot, $12,000 in capital and 150 labor-days to build and is sold for a profit of $2400. The second type of home requires one lot, $32,00 in capital and 200 labor- days to build and is sold for a profit of 3400. The contractor owns 150 lots and has available for the job $2,88,000 in capital and 24,000 labor-days. How many of each type of home should she build to realize the greatest profit?

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