2. Robotica, Inc. is a rm that makes blue jeans for strange humans that behave like robots. We are told that, in the long run, its average cost curve is AC',(y,-) = 42 + (y.- 50)2, where 3;, denotes Rob otica's output level. (a) If Robotica were participating in a perfectly competitive market, how much would it produce in the long run equilibrium, and at what price would it sell? (b) Suppose instead that Robotica is selling jeans in a monopolistically competitive market. The cool feature of its brand consists of plastic knee windows with windshield wipers. Robotica's inverse demand is p,(y,, n) = (47100 1000y,), where n is the number of rms. How much would Robotica produce and at which price would it sell, if we are told that there are n = 50 brands of jeans in the market? (Treat y; as a continuous variable; that is, do not pay attention to the difficulties created by noninteger output levels.)