6 Suppose there is a monopoly firm using a two-part tariff scheme such that, for q units purchased by a consumer T = A + pq is the total amount the consumer pays to consume the good, made up of a fixed fee to purchase the good (A) and a constant per unit price (p). Let the total cost function of the monopoly be given by TC = q. In addition, suppose that there are two consumers in the market: one is rich, the other is poor, let the utility function of the rich consumer be given by:

and let the utility function of the poor consumer be given by: