It's time to help me out. I have $300 to spend on wine over the coming year. I enjoy two vintages in particular: an inexpensive 2016 French Bordeaux at $10 per bottle, and an even less expensive 2018 California varietal wine priced at $2 per bottle found only at Trader Joe's!

a). My utility function is characterized by the function below, plot an indifference curve for my utility value of 10. Also graph one for a utility value of 15. Just do it roughly.

U(Wf, Wc) = Wf2/3Wc1/3.

b). Using the Lagrangian technique, we find that the demand curves are the following:

Wf = 2/3(I/pf)

Wc = 1/3(I/pc)

c). How much of each wine should I purchase? What is my level of utility at this consumption bundle?

d). When I arrive at Trader Joe's in Virginia (no wine in Maryland allowed at Joe's), I find that the French wine has fallen to $5 per bottle! If the price of the California wine remains stable at $2 per bottle, how much of each wine should I purchase to maximize my utility now?

e). Very roughly sketch my demand curve for the French wine.