iqraameer677

a) U = xy

b) U = (xy)^1/3

c) U = min(x,y/2)

d) U = 2x + 3y

e) U = x^2 y^2 + xy

2. All homogeneous utility functions are homothetic. Are any of the above

functions homothetic but not homogeneous? Show your work.

If A ⊂ Rn is a compact set and B ⊂ A, then B is a compact set?