A Manufacturer Finds That the Revenue Generated by Selling X $R ( x ) = 80 x - 0.2 x ^ { 2 }$

question 119

Essay

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function, $R ( x ) = 80 x - 0.2 x ^ { 2 }$ where the revenue $R ( x )$ is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum?

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Definitions:

Universal

pertains to something that is applicable everywhere or in all cases; a concept, condition, or idea that is globally accepted.

Functionally Necessary

Pertains to elements or processes essential for the operation or survival of a system.

High Rank Positions

Statuses or roles within an organizational or societal hierarchy that carry significant influence, power, or authority.

Kingsley Davis

An American sociologist and demographer known for his work on population theory and the study of human societies.