A Manufacturer Finds That the Revenue Generated by Selling X $R ( x ) = 40 x - 0.2 x ^ { 2 }$

question 100

Essay

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function, $R ( x ) = 40 x - 0.2 x ^ { 2 }$
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:

Budget Constraint

An economic model that represents all the combinations of goods and services a consumer can afford given their income and the prices of goods.

Bundle

A collection of products or services sold as a single package deal, often at a discounted price.

Budget

A financial plan for a defined period, outlining expected revenues and expenditures.

Exact Income

The precise amount of money received by an individual or entity within a specific period.