Sophie's utility function U = 6XY represents her preferences over goods X and Y. The prices of good X and good Y are $12 and $15, respectively. Suppose that Sophie's indifference curve is tangent to her budget constraint, where she is consuming 20 units of good X 1.1. How many units of good Y must Sophie be consuming? (2 marks) 1.2. How your answer changes if Sophie's utility function is now U = X0.25y0.75? (2 marks)