3.5 U(x, y) = min(x, y).

U(x, y) = max(x, y).

U(x, y) = x + y.

The Footie Fanatic (FF) always eats his stadium hotdog in a special way; he uses a foot-long hot dog (h) together with precisely half a roll (r), 1 gram of mustard (m), and 2 grams of cheese (c). His utility is a function only of these four items, and any extra amount of a single item without the other items is worthless.

a.

What is FF’s utility function for these four goods?

b.

c.

d.

e.

f.