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A record club has found that the marginal profit, P' (x), in cents, is given by P'(x) = - 0.0008x3+ 0.31x2+ 43.6x for x S

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A record club has found that the marginal profit, P' (x), in cents, is given by P'(x) = - 0.0008x3+ 0.31x2+ 43.6x for x S 300, where x is the number 20,000 P' (x) = - 0.0008x3 + 0.31x2 +43.6x of members currently enrolled in the club. Approximate the total profit 16,000- O 6 when 180 members are enrolled by computing the sum _ P' (x; ) 4x 12,000- Marginal profit (in cents) 1 =1 8,000- with Ax = 30. 4,000- 100 200 300 Number of members . . . The total profit when 180 members are enrolled is approximately $ (Round to the nearest cent as needed.)

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