A contractor builds two types of homes. The Carolina requires one lot, $160,000 capital, and 160 worker-days of labor, whereas the Savannah requires one lot, $240,000 capital, and 160 worker-days of labor. The contractor owns 300 lots and has $48,000,000 available capital and 43,200 worker-days of labor. The profit on the Carolina is $80,000 and the profit on the Savannah is $90,000. Find how many of each type of home should be built to maximize profit. Carolina  homes Savannah      homes Find the maximum possible profit.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A contractor builds two types of homes. The Carolina requires one lot, $160,000 capital, and 160 worker-days of labor, whereas the Savannah requires one lot, $240,000 capital, and 160 worker-days of labor. The contractor owns 300 lots and has $48,000,000 available capital and 43,200 worker-days of labor. The profit on the Carolina is $80,000 and the profit on the Savannah is $90,000. Find how many of each type of home should be built to maximize profit.

Carolina  homes
Savannah      homes



Find the maximum possible profit.

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