In: Economics
A monopolist knows that there are two types of consumers, “high demand” (H) and low demand (L) types. Inverse demand for each consumer of the two types is p = 50 − qL and p = 100 − qH . 60% of consumers are of the L type. Marginal cost is zero.
a) Find the optimal price if the firm can only set a single price. (One way to do this is to pretend that there are 6 consumers of the L type and 4 of the H type, then construct a total demand curve, then calculate.