In Exampleland, the marketing department of new online music service company Exemplify has conducted a study of its potential customers. This study has estimated that the typical listener's monthly demand for music is given by qd (p) = 200 1,250p, where q is the number of tracks consumed per month and p is the charge for playing a track, in dollars. Exemplify faces zero marginal cost of providing a customer access to an additional track. a) Find the company's optimal pricing strategy if it can charge a price per track, a monthly subscription fee, or some combination of both. New research from the marketing department shows that there is a second, equally numerous group of potential customers in Exampleland. Analysts have estimated their monthly demand for music as qª(p) = 100 1,000p. They believe this group is made up entirely of students, who can easily be identified in the same way as Hulu does in Q4(a), and that no students are in the original group (whose demand is qd (p) = 200 - - 1,250p). b) Find the company's optimal pricing strategy now. Explain your reasoning. Before the strategy in (b) can be implemented, the marketing department analysts come back to clarify that this second group of customers (the one whose demand is given by qd (p) = 100 1,000p) does not, in fact, correspond exclusively to students, but contains both students and non-students, and that students are in fact spread out across both this group and the original group (the one whose demand is given by qd (p) = 200- 1,250p). There is no observable demographic characteristic that appears to be more common in one group than the other. c) Find the company's optimal pricing strategy now. Explain your reasoning.