On the Domain $( 0 , \infty )$ , Find the Minimum Value Of

question 205

Multiple Choice

On the domain $( 0 , \infty )$ , find the minimum value of $f ( x ) = \frac { e ^ { x } } { x }$ .

• A)0
• B) \(\frac { 1 } { e ^ { 2 } }\)
• C)
• \(\frac { 1 } { e }\)
• D)11
• E) \(e - 1\)
• F) \(e\)
• G) \(e ^ { 2 } - 1\)
• H) \(e ^ { 2 }\)

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Definitions:

Economic Profits

The surplus or profit gained by a firm after subtracting all its costs, including both explicit and implicit costs, from its total revenues.

Accounting Profits

The net income for a company calculated by subtracting total expenses from total revenues, according to standard accounting practices.

Short Run

A period of time in economics during which at least one input, such as plant size, is fixed and cannot be changed.

Fixed Costs

Expenses that do not change with the level of output produced, such as rent, salaries, and insurance.