8

Points: U OT T Save A record club has found that the marginal profit, P'(x), in cents, is 38,000 P (x) = - 0.0006x3 + 0.38x2 + 31.8x given by P'(x) = - 0.0006x + 0.38x + 31.8x for x 600, where x is the number of members currently enrolled in the club 30.400- Approximate the total profit when 360 members are enrolled by 6 22,800 Marginal profit (in cents) computing the sum _ P' (x, ) Ax with Ax - 60 15 200- 7 600 100 200 300 400 500 600 Number of members The total profit when 360 members are enrolled is approximately $ (Round to the nearest cent as needed.)