Recall the woodchuck identities:

1. V (pe(p,u)) = u

2. e(p, V (p, I)) = I

where V (p,I) is the indirect utility function, and e(p, u) is the expenditure function.

(a) Show that (i) might fail to hold if the underlying utility function U(x1,x2) is not continuous.

(b) Show that (ii) might fail to hold if U(x1; x2) is not strictly increasing.

Thank you very much!!!