A record club has found that the marginal profit, P'(x), in cents, is given by P'(x) = -0.0005x³ +0.19x² +56.9x for x ≤ 400, where x is the number of members currently enrolled in the club. Approximate the total profit when 240 members are enrolled by computing the 6 sum ΣP' (X₁) Ax with Ax = 40. i=1 SOR Marginal profit (in cents) The total profit when 240 members are enrolled is approximately $. (Round to the nearest cent as needed.) 22,000 17,600 13,200- 8,800- 4,400 0- AP'(x) = -0.0005x³ +0.19x² +56.9x VVVI 100 200 Number of members 300 400 Q Q G

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