Question No. 1: Assume that a rm faces demand curve given by the equation: P=ahq. Assume the firm has a cost function of C=cq+F. a) Assume this firm is a monopolist. Derive mathematically, the price the rm will charge and quantity it will produce clearly stating your assumptions and showing all relevant steps. thssume this firm operates in a competitive market. Show mathematically the price the firm will charge and the quantity it will produce, clearly stating your assumptions and showing all relevant steps. c) Assume that the rm operates in a market characterized by Cournot Oligopoly of N firms. Show mathematically, the price the rm will charge and the quantity it will produce. d) Show that in the Cournot market, as N approaches 00, P and Q from part (c) will approach the P and Q from part (b) e) Show that in the Cournot market as N approaches 1 P and Q from part (c) will approach the P and Q from part (a) 1') Briey describe the implications of your conclusions from parts (d) and (e) in the context of merger enforcement