Will and Kate share a house. They each have a weekly budget of 12 to spend on green smoothies (good X) and cups of bubble tea (good Y), which are priced at PX = E2 anld P}! = 3 in their local caf. Will's preferences are described by the utility function U (X, Y) = X + Y, for which MUX MUY = 1. Kate's preferences are described by the utility function H (X, Y) = X Y, for which MUX 1 and MUY = 1. Explain how the preferences of Will and Kate over green smoothies and cups of bubble tea can be translated into indifference curves. Sketch some of these in two separate diagrams and explain their shape