1. In order to deal with her four crazy kids, Lynette consumes speed and yoga. Her utility function is given by U=(2xty) where x is speed and y is yoga. Find her demands for speed and yoga. (5pts) b ) Suppose her income is $100, the price of speed is $4 and the price of yoga is $3. How much speed and yoga does she demand? (2pts) c ) Suppose now there was a discount on yoga and the effective price of yoga fell to $1. How much speed and yoga does she demand? (2pts) d) Graph your answers to b) and c), being sure to label all the relevant points. (3pts) e) How much happier is she because of the yoga discount? (3pts)