Consider Mackenzie's choice of what class to take at 10:00 AM on Mondays and Wednesdays, after she has already determined the rest of her schedule. The set of classes that might be available to her is

X={Econ 441,Econ 452,PPE 300,Math 215,EECS 280}.

Assume that Mackenzie is not indifferent between any two classes.

1. a)Could Mackenzie be rational if we observe her make the following choices:
2. Econ 452 if offered a menu of{Econ 452,PPE 300},
3. PPE300 if offered a menu of{Econ452,PPE300,Math215}?
4. Explain why or why not.