A contractor builds two types of homes. The first type requires one lot, $12,000 capital, and 150 labor-days to build and is sold for a profit of $2400. The second type of home requires one lot, $32,000 capital, and 200 labor days to build and is sold for profit of $3400. The contractor owns 150 lots and has available for the job $2,880,000 capital and 24,000 labor days. How many homes of each type should she build to realize the greatest profit? "Again he gave us a answer of 80 for type 1 and 60 for type 2. Any help would be appreciated thanks in advance.

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