A manufacturer has determined that the revenue from the sale of an smart phone is given by the function R(x) = 94x - 0.03x2 dollars. The cost of producing x phones is C(x) = 10,800 + 34x dollars. (1) Find the profit function and any break-even points (2) Find P(200), P(400) and P(600) (3) Find the marginal profit function, P'(x) (4) Find P'(200), P'(400), P'(600) (5) Using your graphing calculator, sketch the graph of P(x) and P'(x) in the same viewing window. Draw by hand the two graphs and describe their relationship.