Suppose that at prices p1 = 1, p2 = 2 and income I = 20, a consumer chooses consumption bundle x. At prices p1 = 2, p2 = 1 and income I = 20 the consumer chooses consumption bundle y, where y not equal x. Show by means of three graphs that all off the following are possible (assuming standard preferences with decreasing MRS).

(a) x y,

(b) x y,

(c) y x.