As yоu knоw, а rаtiоnаl preference ordering is transitive and complete. What does it mean to say that the weak preference relation is complete? Use equation editor and a couple of sentences to explain. (3 points) Buridan’s ass is as hungry as it is thirsty and finds itself exactly midway between a stack of hay and a pail of water. Unable to decide which is better, the animal starves to death. Explain why this makes it irrational according to the theory you have learned in this class and which axiom of rationality is violated. (5 points) A cheese connoisseur finds that she strictly prefers a $9 wedge of Swiss over a $7 wedge of Cheddar, a $12 wedge of Gouda over the $9 Swiss, and so on, but the $7 Cheddar over a $150 wheel of aged Parmesan. Explain why this makes her irrational according to the theory you have learned in this class. (5 points) What does it mean to say that the strict preference relation ≻ is irreflexive? (2 points) Prove that the strict preference relation ≻ is in fact irreflexive (use equation editor). (3 points)