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The profit of manufacturing x toasters in one day is given by the following. P(x) = -0.05x + 27x - 450, 0 < x

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The profit of manufacturing x toasters in one day is given by the following. P(x) = -0.05x + 27x - 450, 0 < x < 400 (a) List all the critical values of P(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = (b) Find the interval(s) where P(x) is increasing. (Enter your answer using interval notation.) (c) Find the interval(s) where P(x) is decreasing. (Enter your answer using interval notation.) (d) List the x-value(s) of all local maxima of P(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE. x = (e) List the x-value(s) of all local minima of P(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

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