Benjamin spends his time either watching movies (x,) (he uses "on demand" option, cable TV) or listening to the songs - MP3 downloaded from the Internet (x,). His preferences are described by U(x,%)=Inx+nx, Answer the following questions: a) Derive Benjamin's demand for movies and MP3 files as a function of prices p ., p, and his income m. (do not use Cobb Douglas formula but rather derive demand). b) Fix the price of MP3 at p, = 1 and income on m = 10. Find the price offer curve (give an exact formula X, =f(x,)) and plot it in the commodity space. Find the demand curve x, = f (p,) and plot it in the graph (with p1 on vertical axis and x1 on horizontal axis). c) Is x, an ordinary good or a giffen good? Explain. d) Now fix p, = 1 and p, = 1. In the commodity space, plot the income offer curve. In addition, in two separate graphs, plot Engel curves for both movies and MP3 files. Argue that the two commodities are normal (not inferior). e) For the demand functions from point a). determine whether the two goods are gross complements, substitutes or none