1. Cobb-Douglas utility function Let the utility function be u(z,y) = zty'. Let the price of good & be p and the price of good y be g and the income be I, Applying the method of Lagrange multiplier, find the utility maximizing consumption bundle (z*, y*). Also determine the value of Lagrange multiplier A*. 2. Quasi-linear utility function Let the utility function be w(z,y =z+01ny. Let the price of good & be 1 per unit and the price of good y be $p per unit and the income be [. Applying the method of Lagrange multiplier, find the utility maximizing consumption bundle {z*, y* ). Also determine the value of Lagrange multiplier Hint: It is useful to note that % =1 ir