Pricing policy of a U.S. telephone company

This paper analyses the pricing policy of a major U.S. telephone company in 1967. A mathematical programming model was used to calculate the prices per telephone call on each of three representative routes in each of four periods of the day which would be implied by a variety of alternative maximands (consumers' plus producers' surplus, profit, sales units, sales revenue), under a variety of alternative profit constraints and assuming capacity to be either fixed (at 1967 levels) or variable. Cost and demand data were supplied by several telephone company officials, and supplemented by published material. Sensitivity analysis was carried out on the demand elasticities. A total of one hundred versions of the model are reported on. Our major conclusions include: (i) Maximising consumers' plus producers' surplus subject to a pair of minimum profit constraints provided a good approximation to 1967 policy. (ii) There is perfect discrimination between large and small users for interstate toll calls. (iii) The effect of the state regulatory commission was to keep down the price of intrastate toll calls at the expense of interstate toll calls. (iv) As alternatives to regulation, perfect competition, if attainable, would increase benefits by about $100 million whereas perfect monopoly would reduce them by $300 million per annum, within the area of the company's operations.