2. Suppose that a. monopolistic bakery ces the following market demand. Each customer would like to purchase just one cake per day. The marginal cost of production is a constant 313 per cake, and the xed cost ofproduction is $5 per day NC = $13= FC = $5). a. 'What is the socially optimal quantity? h. Find the prot-maximizing price and quantity, if the rm must charge the same price to all consumers, and calculate the rm's monopoly prots. c. Now suppose consumers A, E, and C are nonstudents and consumers D, E= F= G, and H are students. If the rm can charge a different price to each group= what prices will maximize prots? Calculate the rm's monopoly prots if they can price discriminate= charging a dierent price for students and nonstudents. d. Now suppose that the rm is able to perfectly price discriminate. How many cakes will it sell? How much prot will it earn? e. Comparing the outcomes om parts (b) (c) and {d} which market will yield the highest prot? Which will yield the lowest prot? 1'. Comparing the outcomes om parts (b), (c), and (d) which marlret will yield the highest total surplus? \"Which will yield the lowest total surplus