Solve the Problem $p$ (In Dollars) and the Quantity $x$ Sold of a Certain Product Obey the Demand Equation

question 205

Multiple Choice

Solve the problem.
-The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation $x = - 6 p + 120 , \quad 0 \leq p \leq 20$ .
What quantity $x$ maximizes revenue? What is the maximum revenue?

• A) \(60 ; \$ 600\)
• B) 90; \(\$ 450\)
• C) \(30 ; \$ 450\)
• D) \(120 ; \$ 600\)

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Definitions:

Fasciculus Gracilis Tract

A sensory pathway in the spinal cord responsible for transmitting touch and proprioception information from the lower body.

Anterior Spinocerebellar Pathway

A neural pathway that carries sensory information from the spinal cord to the cerebellum, important for the coordination of movement.

Tectospinal Pathway

A neural pathway originating in the tectum of the midbrain that is involved in coordinating head and eye movements.

Gag Reflex

An involuntary contraction of the back of the throat, triggered by an object touching the roof of the mouth, back of the tongue, or area around the tonsils.