Question 1. Consider Barat and Emma who have very different views of life - and consider how this shapes their tastes over sports and art. Barat is an athlete who derives most of her pleasures from playing sports and watching sporting events. Emma is quite different - she appreciates the "finer" things in life - walking through art galleries and museums. With art on the horizontal axis and sports on the vertical axis, answer the following. a. Suppose both Barat and Emma are willing to perfectly substitute sports for art - but at different rates. Given the descriptions above, sketch two different indifference maps (in the same graph) and indicate which is more likely to be Barat's and which is more likely to be Emma's. b. Now suppose neither Barat nor Emma are willing to Substitute between art and sports. In addition, suppose that Barat dislikes art. How would their indifference maps differ now given the descriptions of them above? c. Finally, suppose they both allowed for some substitutability between art and sports but not as extreme as in part (a). In addition, suppose that Emma dislikes sports and that Barat likes art - just not as much as sports. Again, draw two indifference maps and indicate which refers to Barat and which to Emma