Charlie and Paul have preferences over novels (x1 ) and science books (x2 ) occupying their bookshelves, and this year they each plan on spending $500 on books. Their preferences are represented by the utility functions u C (x) = x 3/5 1 x 2/5 2 and u P (x) = x 8 1 x 2 2 respectively. (a) Depending on the market prices, could Charlie or Paul ever choose 0 books in either genre? (b) If Charlie and Paul face the same market prices, who will buy more novels? (c) Calculate each of their demands in a market where the market price for novels is $20 and the market price for science books is $25