Part C A consumer with the following utility function U = xy2 faces two constraints. The first is the normal budget constraint where he has GH150 and the price of x and y are both GH1. Also, the consumer has been issued 200 ration coupons by the government which he must use whenever he buys either x or y. It takes 2 coupons to buy an x and 1 coupon to buy a y (for example: to buy 3 units of x it would require GH3 or 6 coupons) (i) Write down the Lagrangian for this problem. Applying the steps of Kuhn-Tucker, find the optimal x and y. Identify which constraints, if any, are binding. Part C A consumer with the following utility function U = xy2 faces two constraints. The first is the normal budget constraint where he has GH150 and the price of x and y are both GH1. Also, the consumer has been issued 200 ration coupons by the government which he must use whenever he buys either x or y. It takes 2 coupons to buy an x and 1 coupon to buy a y (for example: to buy 3 units of x it would require GH3 or 6 coupons) (i) Write down the Lagrangian for this problem. Applying the steps of Kuhn-Tucker, find the optimal x and y. Identify which constraints, if any, are binding