3. Suppose that there are only two goods hamburgers (measured in patties on the x axis) and cokes (measured in bottles on the y axis). Illustrate the following preferences in an indifference curve diagram:

a) I am always willing to trade exactly two bottles of coke for each hamburger and conversely (one hamburger for two bottles of coke).

b) For each hamburger, I must have two bottles of coke - not a drop more and not a drop less.

c) I love hamburgers but neither like nor dislike coke.