3. (36 points) Suppose that a monopoly rm has the following total cost of producing a product C(Q}=100+10Q, where Q is the total number of units of the product. There are only two potential buyers for the market: Alan and Bob. Alan's demand curve is given by Qa=lUO-2P Where Q; is the quantity demanded by Alan per month. Bob's demand curve is given by QB=180-3P Where QB is the quantity demanded by Bob. a. If the monopoly rm can implement complete price discrimination, how many units should it produce and what is the total prot? b. If the monopoly rm can only chare a single price for every unit, what price should it charge and what are Alan's and Bob's buyer surplus? c. If the monopolist can implement direct segment price discrimination (charge a different price to each customer), what prices will it charge