Tina is very particular about her purchases: She only buys hot dogs and soda, and every time she makes purchases she buys exactly three hot dogs and soda. She would never buy three hot dogs without a soda, and would never buy a soda without three hot dogs.
a) Come up with an utility function that describes Tina's preferences.
b) If a hot dog costs 2 dollars and a soda costs 3 dollars what is her optimal bundle of soda and hot dogs if she has an income of 63 dollars.
c) Find her demand function for hot dogs and her demand function for sodas.