The predicted sales revenue of the ABC Company, in tens of millions of dollars, is given by f (x) = 0.02x³ – 0.18x2 + 0.45x + 30.5, where x is in years, 0 < x5 6. Annual costs are given by the function c(x) = 0.15x + 10.5. Compute and analyze the profit function P(x). Find all critical numbers of P(x) and use a sign map of the first derivative to identify the relative maxima and minima. Use a sign map of the second derivative to locate all inflection points. Use this information to graph P(x). In your own words, interpret the positive inflection point.

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