A Manufacturer Finds That the Revenue Generated by Selling X $R ( x ) = 80 x - 0.2 x ^ { 2 }$

question 90

Multiple Choice

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function, $R ( x ) = 80 x - 0.2 x ^ { 2 }$ where the revenue $R ( x )$
Is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum?

• A) Maximum Revenue: \(\$ 8,000\)
• When \(x = 2000\)
• Units are manufactured
• B) Maximum Revenue: \(\$ 8,000\)
• When \(x = 100\)
• Units are manufactured
• C) Maximum Revenue: \(\$ 8,500\)
• When \(x = 250\)
• Units are manufactured
• D) Maximum Revenue: \(\$ 9,000\)
• When \(x = 200\)
• Units are manufactured
• E) none of these

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Definitions:

Inhibitory Neurotransmitter

A type of neurotransmitter that decreases the likelihood of the neuron it acts upon to fire an action potential, thereby dampening neuronal activity.

GABA

A neurotransmitter in the brain responsible for reducing neuronal excitability throughout the nervous system.

Neurotransmitters

Chemical substances in the nervous system that transmit signals from one neuron to another, playing critical roles in communication within the brain and affecting various bodily functions.

Human Nervous System

The part of an individual's body that coordinates its actions by transmitting signals to and from different parts of its body.