. Suppose that, holding prices constant, Alice has preferences over the number of| books she purchases, illustrated in the chart at the right. Income (thousands of dollars) Optimal number of books purchased 5 5 10 6 15 20 20 25 25 26 30 10 35 9 40 8 45 7 50 6 0 Draw a smooth approximation of Alice's Engel curve for books, indicating the ranges over which books are inferior goods and over which they are normal goods. 0 A luxury good is a good that has an income elasticity greater than 1. Give the ranges in which books are luxury goods for Alice