Average Costs $\bar { C } ( x ) = 5 x + \frac { 4500 } { x } , \quad x > 0$

question 82

Multiple Choice

Average costs. Suppose the average costs of a mining operation depend on the number of machines used, and average costs, in dollars, are given by $\bar { C } ( x ) = 5 x + \frac { 4500 } { x } , \quad x > 0$ , where x is the number of machines used. What is the minimum average cost?

• A)$0
• B)$30
• C)$300
• D)$150
• E)$4505

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Definitions:

Biological Need

A fundamental requirement that supports the survival and well-being of living organisms.

Appetite Hormone

Regulatory substances in the body like ghrelin, which influences hunger and feeding behaviors.

Orexin

A neurotransmitter involved in regulating wakefulness and appetite.

Hypothalamus

A region of the brain responsible for the production of many of the body's essential hormones, influencing bodily functions such as temperature regulation, thirst, hunger, sleep, and mood.