Economics question

A monopolist's inverse demand function is p = 200 q, for qr 2 0, where p is the price per unit and q is the quantity. The nn's cost function is C(q)=%q36q2 +176q+100. The rm has a maximum output of 18 units per day. (a) Find the stationary point(s) of the tinn's prot function, 1:(q). (6 marks) (b) Determine where the nn's prot function has a global maximum. (6 marks) (c) Determine whether the prot function in (a) has an inflection point and, if so, report its location