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:

Testosterone

is a primary male sex hormone that plays key roles in health and well-being, including the development of male reproductive tissues and secondary sexual characteristics.

Estrogen

A group of hormones playing a crucial role in the development and regulation of the female reproductive system and secondary sex characteristics.

Y Chromosome

A sex chromosome that is typically present in males, combined with an X chromosome, and determines male biological characteristics in humans.

Testosterone

A steroid hormone associated with male sex characteristics, although present in both genders, affecting mood, energy, and physical development.