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A record club has found that the marginal profit, P'(x), in cents, is 42,000- P'(x)= - 0.0006x + 0.33x2+65.4x given by P'(x) = - 0.0006x

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A record club has found that the marginal profit, P'(x), in cents, is 42,000- P'(x)= - 0.0006x + 0.33x2+65.4x given by P'(x) = - 0.0006x + 0.33x + 65.4x for x $ 600, where x is the number of members currently enrolled in the club. Approximate the 33,600- total profit when 360 members are enrolled by computing the sum 6 25,200 Marginal profit (in cents) _ P' (x;) Ax with Ax = 60 16,800- i=1 8,400- OTT V V V 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.)

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