Suppose Chilufya's utility function is U=F3/4B1/4, where F is Food and B is Beer. a) Use the Lagrangian Method to derive Chilufya's demand function for beer and food b) Suppose Chilufya has K2000 as income and that the price of Food and Beer is K100 and K20 respectively, find the levels of food and beer to maximize Chilufya's utility c) What is the maximum utility for Chilufya? d) Sketch Chilufya's equilibrium as a consumer (Plot Beer on the horizontal axis and Food on the vertical axis)