In: Economics
A monopolist faces 300 customers divided into 3 different groups:
1. High-Demand customers each have a demand function given by
QH = 18 - P.
2. Medium-Demand customers each have a demand function given by
QM = 16 - P.
3. Low-Demand customers each have a demand function given by
QL = 14 - P.
There are 100 customers of each type (NH=NM=NL=100).
The marginal cost of producing (one unit of) the product the firm is selling is constant at MC = $4. There is no fixed cost.
1. Determine the optimal two-part tariff for this firm and the resulting profits (it can only select one two-part tariff that is applied to all customers).
2. Do the same for NH=NL=50 and NM=200. Explain briefly the difference between the results in (1) and (2).