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Marginal Profit and Production Level
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A company’s profit is modeled by the function $$P(x) = -2x^2 + 12x - 16$$, where $$x$$ is the production level. The marginal profit is given by the derivative, $$P'(x) = -4x + 12$$. At what production level $$x$$ is the marginal profit equal to zero?

A

$$3$$

B

$$4$$

C

$$6$$

D

$$-3$$

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