Please support to solve the below question. Thank you!

If a consumer's preference can be represented by the following utility functions: (a) U(XI, x2) = a In + (1 a) In (0 < < 1) (c) U(XI, x2) = xf + x; (0 < p < 1) (1) Find the consumer's Walrasian demand functions x(p, w), and indirect utility functions V (p, w) (considering only interior solutions), given the wealth w and prices Pi for consumption goods Xi, i 1,2,3. (2) Find the consumer's Hicksian demand functions and her expenditure functions (considering only interior solutions), given the reserve utility _U and prices Pi for consumption goods Xi, i 1,2,3. (3) Please show that what have solved in (l) and (2) satisfy h(p, v(p, w)) e(p, v(p, w)) = w, x(p, = and v(p, = U. x(p, w),