The Quantity Demanded Per Month of an Item Is Related $p=\frac{40}{0.05 x^{2}+5}$

question 161

Short Answer

The quantity demanded per month of an item is related to the unit price by the demand equation $p=\frac{40}{0.05 x^{2}+5}$ , $0 \leq x \leq 20$ 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:

Menarche

A primary sex characteristic in females; a female’s first menstrual period, which signals the ability to reproduce sexually.

Genetic Influences

The impact that the genetic makeup of an individual has on their traits, behavior, and susceptibility to certain conditions.

Hormonal Influences

The effect that hormones have on bodily functions, mood, behavior, and overall health, often influencing growth, metabolism, sexual function, and mood.

Y Chromosome

A sex chromosome typically found in males, paired with an X chromosome in XY sex-determination systems, playing a crucial role in male development and fertility.