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:

Thunderhead

A large, towering cumulonimbus cloud associated with thunderstorms and severe weather conditions.

Cold Front

A leading edge of a cooler mass of air, replacing (at ground level) a warmer mass of air, which can lead to dramatic changes in weather conditions.

Rain Shadow Effect

A climatic phenomenon where a mountain range causes precipitation on one side, creating a dry area on the leeward side due to the blocking of rain-producing weather systems.

Tornadoes

are violently rotating columns of air that are in contact with both the surface of the Earth and a cumulonimbus cloud or, in rare cases, the base of a cumulus cloud, known for causing significant destruction.