Evaluate and Simplify $f ( x ) = \frac { x } { x + 2 }$

question 29

Multiple Choice

Evaluate and simplify $f ( x ) = \frac { x } { x + 2 }$ at x=4 .

• A) \(f ( 4 ) = - \frac { 2 } { 3 }\)
• B) \(f ( 4 ) = \frac { 1 } { 3 }\)
• C) \(f ( 4 ) = \frac { 2 } { 3 }\)
• D) \(f ( 4 ) = \frac { 3 } { 2 }\)
• E) \(f ( 4 ) = - \frac { 3 } { 2 }\)

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Definitions:

Productively Efficient

Refers to a situation where goods and services are produced at the lowest possible cost, and resources are utilized in the most efficient manner.

Pure Competition

A market structure characterized by a large number of small firms, a homogeneous product, free entry and exit, and perfect information, allowing no single firm to influence the market price.

Average Total Cost

The total cost of production (fixed and variable costs combined) divided by the number of units produced.

Socially Optimal

A condition or point where the social welfare, including both consumer and producer welfare, is maximized, often considered in the analysis of market efficiency and interventions.