Write the Word or Phrase That Best Completes Each Statement $\mathrm { p }$

question 203

Essay

Write the word or phrase that best completes each statement or answers the question.
-The price $\mathrm { p }$ and $\mathrm { x }$ , the quantity of a certain product sold, obey the demand equation
$$p = - \frac { 1 } { 10 } x + 100 , \{ x \mid 0 \leq x \leq 1000 \}$$
a) Express the revenue $R$ as a function of $x$ .
b) What is the revenue if 450 units are sold?
c) Graph the revenue function using a graphing utility.
d) What quantity $x$ maximizes revenue? What is the maximum revenue?
e) What price should the company charge to maximize revenue?

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Definitions:

Specific Nerve Energies

The theory that different sensory nerves convey specific types of sensory information to the brain.

Sensory Neuron

A type of neuron that transmits signals from sensory receptors towards the central nervous system, allowing perception of sensory stimuli.

Sensation

The detection, by sense organs, of physical energy emitted or reflected by physical objects.

Perception

The process by which individuals organize and interpret their sensory impressions to give meaning to their environment.