Profit Function. A company lists its profit function as P(x) = 8x - 0.02x2 - 500 Graph the function. Find the instantaneous rate of change in profit at x = 100. (You should use a derivative shortcut, rather than the definition of the derivative.) Find the instantaneous rate of change in profit at x = 200. (You should use a derivative shortcut.) Find the profit at x = 200. Write a sentence interpreting question b. 4 Interpret parts b, c, and d on the graph of part a