Suppose, there is a consumer who derives utility from the consumption of two goods, X & Y, her utility function is U (X,Y) = X0.75 Y0.25. Initially, the price of X & Y are given byP_x&P_y. Her total income is given by m.
a) Form the Lagrangian Function for the the expenditure minimization problem.
b) Derive the Hicksian demand functions for X & Y.
c) If U=20, P_x=6 &P_y=2, find the values of X & Y.
d) Based on your answers in part (c) what can you conclude about the relation between the two goods?