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Question 2: Comparative statics: numerical and graphical analysis [30 points] This exercise walks you through the main steps to decompose a price change into a
Question 2: Comparative statics: numerical and graphical analysis [30 points] This exercise walks you through the main steps to decompose a price change into a substitution and income effect. Suzanne's utility function is given by U(:c, y) = % log(3:) + % log(y), where log(u) denotes natural logarithm. Let the prices be given by pm = py = 2 and her income is m = 200. 1. Find the Marshallian demands x;(pm,py,m) and y:1(pm,py,m). What's the optimal utility level at this bundle? [If you prefer, you do not need to show all work. However, showing your work will get partial credit if you make a mistake] [4 points] . Call the above Marshallian demands bundle A = (33;,yfn). Draw the budget constraint, bundle A1 and the indifference curve that goes through the bundle. [You do not need to be very precise with the indifference curve. Only remember the shape of the indifference curves for a CobbDouglas utility function] [4 points] . Now assume that the price of .7: falls to pm. = 1. Find the new Marshalian demand functions and call this bundle B = (xx, yfnf'). Draw the new budget constraint, bundle B, and the indifference curve that goes through it. Do this on the same graph as in part (2). [6 points] . Find bundle C = (93\
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