Average Costs $\bar { C } ( x ) = 7 x + \frac { 1372 } { x } , \quad x > 0$

question 18

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 $\bar { C } ( x ) = 7 x + \frac { 1372 } { x } , \quad x > 0$ , where x is the number of machines used. How many machines give minimum average costs?

• A)Using 14 machines gives the minimum average costs.
• B)Using zero machines gives the minimum average costs.
• C)Using 24 machines gives the minimum average costs.
• D)Using 28 machines gives the minimum average costs.
• E)Using 33 machines gives the minimum average costs.

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Definitions:

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