Compute the Maximum Profit When the Demand Function Is $p ( x ) = x ^ { 2 } - 3 x + 2$

question 67

Short Answer

Compute the maximum profit when the demand function is $p ( x ) = x ^ { 2 } - 3 x + 2$ and the total cost function is $C ( x ) = \frac { 2 x ^ { 3 } } { 3 } - \frac { 1 } { 2 } x ^ { 2 } - 2 x$ Enter just a reduced fraction of form $\frac { a } { b }$ .

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Definitions:

Non-Verbal Communication

The process of transferring information through behaviors and cues rather than words, such as body language, gestures, and facial expressions.

Hedges

Linguistic terms or phrases used to soften statements, making them less direct or certain, often to express politeness or uncertainty.

Non-Verbal Behaviour

Non-verbal behavior includes all forms of communication that do not involve the spoken word, such as body language, gestures, facial expressions, and eye contact.

Auditory Cues

Signals perceived via hearing that help individuals understand the environment or communication context.