Solve the Problem $P$


A) $y = \sqrt { 2 } x + 1 + \sqrt { 2 }$

question 368

Multiple Choice

Solve the problem.
-Find an equation for the tangent to the curve at $P$ .

• A) \(y = \sqrt { 2 } x + 1 + \sqrt { 2 }\)
• B) \(y = - \sqrt { 2 } x + \frac { \pi \sqrt { 2 } } { 4 } - 1 - \sqrt { 2 }\)
• C) \(y = \sqrt { 2 } x - \frac { \pi \sqrt { 2 } } { 4 } + 1 + \sqrt { 2 }\)
• D) \(y = - \sqrt { 2 } x - 1 - \sqrt { 2 }\)

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Definitions:

Long-Run Equilibrium

A state in which all factors of production can be adjusted, allowing firms to enter or exit the market, resulting in a situation where economic profits are zero in a perfectly competitive market.

P = MR

An economic principle where the price (P) of a product equals its marginal revenue (MR), often applied in perfectly competitive markets.

Minimum ATC

The lowest point on the Average Total Cost curve, where a firm is producing at the most cost-efficient level.

Productive Efficiency

A state in which the economy or an economic system is able to produce maximum output from a given set of inputs without wasting resources.