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A Firm Has Total Revenue Given By R(x)=300x45.5x2x3 dollars R ( x ) = 300 x - 45.5 x ^ { 2 } - x ^ { 3 } \text { dollars }

question 64

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A firm has total revenue given by R(x) =300x45.5x2x3 dollars R ( x ) = 300 x - 45.5 x ^ { 2 } - x ^ { 3 } \text { dollars } for x units of a product. Find the maximum revenue from sales of that product.


Definitions:

Hypothesis

A proposed explanation for a phenomenon, made as a starting point for further investigation, which can be tested through experimentation and observation.

Falsifiable

A characteristic of a hypothesis or theory that suggests it can be proven wrong by observation or experiment.

Prokaryotic Cells

Cells without a nucleus or other membrane-bound organelles, including bacteria and archaea.

Eukaryotic Cells

Cells that contain a nucleus enclosed within membranes, distinguishing them from prokaryotic cells. They make up all complex organisms, including humans, plants, and fungi.

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