The Profit Function for a Certain Company Making and Selling $x$

question 28

Multiple Choice

The profit function for a certain company making and selling $x$ units of a product is given by $P ( x ) = - x ^ { 2 } + 20.31 x + 68.96$ . Find the smallest value of $x$ at which the company breaks even.

• A) \(\quad 4.63\)
• B) \(\quad 4.15\)
• C) \(\quad 4.31\)
• D) \(\quad 4.88\)
• E) \(\quad 5.15\)

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Definitions:

Official Poverty Line

A government-determined threshold that defines the minimum income level required to meet basic needs, varying by family size and composition.

Household Of Four

Refers to a living arrangement consisting of four individuals who reside together and share expenses and responsibilities.

Public Assistance

Government programs designed to provide financial aid, services, or support to individuals or families in need.

Supplemental Security Income

A federal program in the United States that provides additional income to elderly, blind, or disabled individuals with little or no income to meet basic living needs.