Solve the Problem $f ( x ) = 6 x ^ { 2 } - 5 x$

question 293

Multiple Choice

Solve the problem.
-If $f ( x ) = 6 x ^ { 2 } - 5 x$ and $g ( x ) = 2 x + 3$ , solve $f ( x ) \leq g ( x )$ .

• A) \(\left( - \frac { 1 } { 3 } , \frac { 3 } { 2 } \right)\)
• B) \(\left[ - \frac { 1 } { 3 } , \frac { 3 } { 2 } \right]\)
• C) \(\left[ - \frac { 3 } { 2 } , \frac { 1 } { 3 } \right]\)
• D) \(\left( - \frac { 1 } { 3 } , \frac { 3 } { 2 } \right]\)

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Definitions:

Consumer Surplus

The contrast between the total sum consumers are ready and financially equipped to spend on a good or service, and the sum they actually spend.

Producer Surplus

The divergence between the price at which sellers are ready to offer a good or service and the price they actually obtain.

Economic Efficiency

A state in which resources are allocated in a way that maximizes the total benefit received by society from those resources.

Consumer Surplus

The divergence between the price consumers are willing to pay and what they really spend on a good or service.