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A record club has found that the marginal profit, P' (x) = - 0.0005x^3 +0.20x^2 + 35.7x for x lessthanorequalto 400, where x is the
A record club has found that the marginal profit, P' (x) = - 0.0005x^3 +0.20x^2 + 35.7x for x lessthanorequalto 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 sum sigma_i=1^6 P' (x_i) Delta x with Delta x = 40. The total profit when 240 members are enrolled is approximately $ (Round to the nearest cent as needed.)
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