The Quantity Demanded Per Month of an Item Is Related $$p = \frac { 45 } { 0.04 x ^ { 2 } + 1 } , \quad 0 \leq x \leq 20$$

question 11

Short Answer

The quantity demanded per month of an item is related to the unit price by the demand equation
$$p = \frac { 45 } { 0.04 x ^ { 2 } + 1 } , \quad 0 \leq x \leq 20$$
where $p$ is measured in dollars and $x$ is measured in units of a thousand. How many items must be sold by the manufacturer to maximize its revenue?
Hint: Recall that the revenue is given by $R = p x$ .

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Definitions:

Co-ownership

A legal agreement where two or more parties jointly own a property or asset, sharing rights and responsibilities.

Existing Partners

Current members of a partnership who have previously entered into a partnership agreement and are actively involved in the business operations.

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A term indicating the entitlement of an individual or entity to take part in certain activities or to have a share in certain rights or benefits.