Suppose that the total profit P(x) (in tens of dollars) to manufacture a quantity x of Bacon-Wrapped Conversation Hearts (in hundreds of cases) is given by the function P(x) = -2x + 132x-960x-5800. a) What is a reasonable domain for this function? b) Determine the interval(s) on which P(x) is increasing and the interval(s) on which P(x) is decreasing.