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:

Longitudinal Study

A research design that follows the same subjects over a period of time, allowing for the examination of changes and developments.

Adolescent

A young person in the transition phase between childhood and adulthood, typically aged 10 to 19 years.

Conflict

An active disagreement or struggle between individuals or groups, which can occur at interpersonal, communal, or international levels, often driven by differing interests or beliefs.

Lying

Lying is the act of deliberately making a false statement with the intention of deceiving others.