Con (a) (b) (d) (e) (1) _'___ _ l' ' 5'"! sider the following Cobb-Douglas Utility Function. UCxlle) = 10x10.25x20.75 Conrm Euler's Theorem by deriving left-hand-side and right-hand-side separately. Derive % (the slope of the indifference curve) and explain the meaning of the derived 2 expression. Consider the constrained optimization problem with the following information. Budget Constraint: px1 + 121m2 = 1000 Find the expressions for the utility maximizing level of xland x2. Confirm the second order condition for the part (c) using bordered Hessian Matrix. Derive 7L\" and explain the exact meaning of the magnitude of 1* from part (c). Suppose the price of xi (= p) increased by one unit. How much will it change the maximized level of utility? (i) Answer by using Envelope Theorem. (ii) Answer by using Value Function