A Contractor Builds Two Types of Homes

question 103

Multiple Choice

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 $40,000 and the profit on the Savannah is $52,000. Use the corner points of the feasible region to find how many of each type of home should be built to maximize profit. Find the maximum possible profit. Round your profit to the nearest dollar, another answers - to the nearest whole number. ​

• A)Maximum profit of $13,320,000 obtained by building 60 Carolina homes and 210 Savannah homes.
• B)Maximum profit of $12,000,000 obtained by building 300 Carolina homes and 0 Savannah homes.
• C)Maximum profit of $11,520,000 obtained by building 210 Carolina homes and 60 Savannah homes.
• D)Maximum profit of $21,200,000 obtained by building 270 Carolina homes and 200 Savannah homes.
• E)Maximum profit of $18,400,000 obtained by building 200 Carolina homes and 200 Savannah homes.

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Definitions:

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