(a) Graph the profit function P(x) = 50x - 0.2x2 - 2000.
(b) Find the vertex of the graph. Is it a maximum point or a minimum point?
(c) Is the average rate of change of this function from x = a < 125 to x = 125 positive or negative?
(d) Is the average rate of change of this function from x = 125 to x = a > 125 positive or negative?
(e) Does the average rate of change of the profit get closer to or farther from 0 when a is closer to 125?