APFIVE Marginal Profit and Production Level
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
$$4$$
B
$$6$$
C
$$-3$$
D
$$3$$
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