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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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.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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