A record club has found that the marginal​ profit, Upper P primeleft parenthesis x right parenthesis​, in​ cents, is given by UpperP prime left parenthesis x right parenthesis equals negative 0.0008x cubed plus 0.27 x squared plus 55.9 x for x less than or equals300​, where x is the number of members currently enrolled in theclub. Approximate the total profit when 180 members are enrolled bycomputing the sum Summation from i equals 1 to 6 Upper P prime leftparenthesis x Subscript i Baseline right parenthesis Upper Delta xwith Upper Delta x equals 30.
