The cost of manufacturing x badminton rackets per day is given by the function C(x) = 500 + 7x + 0.0002x2 Each racket can be sold at a price of p dollars, where p = 10 0.0003x. Find the number of rackets to be manufactured which maximizes the daily profit for the company Check Consider the function f(x) = x3 In x (a) Find the domain of f. Answer: (D, D (b) Find the critical points. (c) Find the domains of increase and decrease. Increasing: ( , l (d) Find the inflection point. Check