Elon consumes two types of food only: hamburgers (H) and hot dogs (D). He enjoys them equally well but the size of a hamburger are much larger than the size of a hot dog so he feels a hamburger always gives him the same utility as three hot dogs. (a) Write down Elon's utility function. (b) Find Elon's demand functions for hamburgers and hot dogs. (c) If Elon's food budget is $50 per week and the prices for hamburgers and hot dogs are, respectively, $5 and $2, find how many hamburgers and hot dogs Todd would buy each week. (d) Suppose the price of hamburgers went up to $8. What would Elon's consumption pattern be now? How much of the change in consumption of each good would you attribute to the substitution effect and how much to the income effect