Amonopolist with total cost function = +faces a market with two distinct consumer groups with the first group having a demand function of = − and the second having a demand function of = − a) is this monopolist operating in the short run or the long run? explain how you know. b) calculate the monopolist’s profit-maximizing price and quantity sold if the monopolist must engage in uniform pricing. find the monopolist’s profits in this scenario. (hint: use horizontal aggregation to form the total market demand curve). c) the monopolist can now engage in third degree price discrimination, setting a different price for each market segment. calculate the monopolist’s optimal prices charged to each market segment, the quantities consumed by each market segment, and the monopolist’s profits. would the monopolist rather engage in this price discrimination or would they rather set a uniform price?