Problem 3. Expenditure minimizationTricky cases. (11 points) Here are two expenditure minimization problems in which you are not supposed to take derivatives. Use your intuition and graphical methods. The solution is similar to the ones that we explored in class for the case of utility maximization. min 101131 + 102232 3:1 1:32 s.t. u(x1,:c2) = E, 1. Assume u(m1,m2) : min(m1,m2). (a) What is the solution for h'{ and h;, that is, for the Hicksian compensated demand functions? (do not write the Lagrangean, try graphically). (4 points) (b) Show that the Hicksian compensated demand function does not depend on p1 or p2, that is, Bhp, E)/8pi 2 8h: (19, E) /8pj = 0. In this case, the substitution effect of a change in price is null. (3 points) 2. Assume u(a:1, x2) = as? + 113%. What is the solution for h; and hg, that is, for the Hicksian compensated demand functions? (do not write the Lagrangean, try graphically). (4 points)