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The graph of the total profit P(x) (in dollars) from the sale of Ay O x cordless electric screwdrivers is shown to the right. 85

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The graph of the total profit P(x) (in dollars) from the sale of Ay O x cordless electric screwdrivers is shown to the right. 85 000- (a) Write a brief verbal description of the graph of the marginal profit function y = P'(x), including a discussion of any x intercepts. X (b) Sketch a possible graph of y = P'(x). -300 -45 000The graph of the total profit P(x) (in dollars) from the sale of Ay (a) On what subinterval(s) is the marginal profit function P'(x) positive? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is positive on the subinterval(s) (Type your answer using interval notation. Use a comma to separate answers as needed.) O B. The function is nowhere positive. On what subinterval(s) is the marginal profit function P'(x) negative? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is negative on the subinterval(s) (Type your answer using interval notation. Use a comma to separate answers as needed.) O B. The function is nowhere negative At what point(s) is the marginal profit function P'(x) equal to 0? Select the correct choice below and, if necessary, fill in the answer box to complete your choice OA. The function is zero at point(s). x = (Use a comma to separate answers as needed.) B. The function is nowhere zero (b) Sketch a possible graph of y = P'(x). Choose the correct graph below. O A. OB. OC. OD. 5003 400 400

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