Write the Word or Phrase That Best Completes Each Statement $$P ( x ) = - 45 x ^ { 2 } + 2,430 x - 15,000$$

question 97

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The daily profit in dollars made by an automobile manufacturer is $$P ( x ) = - 45 x ^ { 2 } + 2,430 x - 15,000$$ where x is the number of cars produced per shift. How many cars must be produced per shift for the company to maximize its profit?

• A) 29
• B) 32
• C) 54
• D) 27

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Definitions:

Independent Variable

In a study, the variable that the researcher alters or adjusts to study its impacts on the dependent variable.

Dependent Variable

In experimental and statistical research, the variable being tested and measured, which is expected to change under the influence of the independent variable.

Artificial Settings

Environments created or manipulated by researchers to study behavior in controlled conditions, which may not perfectly mimic real-life situations.

Experimental Method

A research methodology involving the manipulation of variables to determine cause-and-effect relationships.