The graph of the total profit P(x) (in dollars) from the sale of x cordless electric screwdrivers is shown to the right. (A) Write a brief verbal description of the graph of the marginal prot function y = P'(x), including a discussion of any x intercepts. (B) Sketch a possible graph of y = P'(x). (A) On what interval(s) is the marginal prot function P'(x) positive? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A U A. (Type your answer using interval notation. Use a comma to separate answers as needed.) C) B. There is no solution. A Tshirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts produced by hiring x new workers is given by T(x) = - 0.75x4 + 12x3, 0 5x 5 12. When is the rate of change of Tshirt production increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change for Tshirt production? Graph T and T' on the same coordinate system. E) The rate of change of Tshirt production is increasing on I. (Type your answer in interval notation.) \fFind (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. _ 3 f(x)x -48x-1 E> (A) f'iX) = D