Write down the equation of a utility function and construct an indifference map that

corresponds to each of the following cases.

a) (10 points) Carol is always willing to give up 2 pizzas in exchange for 1 additional beer

no matter how many pizzas and beers she has in her consumption bundle.

b) (10 points) Kathy loves pizza and is neutral toward beer (i.e., she neither likes nor

dislikes beer). She derives 4 units of satisfaction from each pizza she consumes.