The function C(r) gives the cost (in $) for a company to produce r units of its product. C(x) is graphed below. The dashed line is the line tangent to the graph of C at (3, 6). 12 10 ty 8 6. C(x) (3.6) 3 4 (a) (3 pts) Let A(x) be the average cost when producing x units. In other words, C(x) A(x) = Find A'(x) (in terms of C(r) and C'(r)), and evaluate A'(3). (b) (3 pts) When the company produces r units, the company sells each unit at a price of 11 - r dollars. Let P(x) be the profit function when the company pro- duces and sells r units. Find P'(3). = 3 and f'(3) (c) (3 pts) Suppose f is a function satisfying f(3) G(x) = f(r)C(x). Find G'(3). -4. Let %3D 4, 2.