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.

---

Definitions:

Durkheim

is a reference to Émile Durkheim, a pioneering French sociologist known for his substantial contributions to the sociology of religion, law, suicide, and the framework of functionalism.

Shared Norms

Shared norms refer to the common beliefs, values, and expectations that guide behavior within a group of individuals or society.

Strong Social Bonds

The ties and relationships between individuals that foster a sense of belonging and mutual support within a community or society.

Suicide Probability

The likelihood of an individual taking their own life, often assessed in terms of sociological and psychological factors.