In: Math
A record club has found that the marginal profit, Upper P prime left parenthesis x right parenthesis, in cents, is given by Upper P prime left parenthesis x right parenthesis equals negative 0.0008 x cubed plus 0.27 x squared plus 55.9 x for x less than or equals 300, where x is the number of members currently enrolled in the club. Approximate the total profit when 180 members are enrolled by computing the sum Summation from i equals 1 to 6 Upper P prime left parenthesis x Subscript i Baseline right parenthesis Upper Delta x with Upper Delta x equals 30.