Consider a simple economy with two individuals, Elena and Julia. The economy is endowed with 30 cups of delicious Colombian coffee and 30 French croissants each month. Elena and Julia's preference for these goods are given by their utility functions _E= ¹/^{3 2}/³ _J= ^{2/3 1/3} Where is the amount of delicious Colombian coffee (in cups) and is the number of French croissants. a. Draw the indifference curves for Elena and Julia for a utility level of 10 and 20 (Draw delicious Colombian coffee in the vertical axis and French croissants in the horizontal axis). b. If each individual only had 15 cups of delicious Colombian coffee, how much French croissants would each individual be willing to give up in order to have another loaf of bread if the initial amount of croissants is also 15? (Hint: You need to find the MRS for Elena and Julia. You would need to use some calculus to answer this question. However, if you are a bit rusty with your calculus you can use the following: the utility functions here are called Cobb-Douglas, and they take the form = '( this implies a generic MRS equal to )*= , )