8. Consider a maximization problem with inequality constraints. The objective function is given by f(X1, 12) = $1 + 142. The problem is to find (c), r;) that maximizes f(x1, 12) subject to (i) x1 + ax2 _ b, (ii) x1 2 0 and (iii) x2 2 0. Assume that a > 0 and b > 0. Also assume that the conditions in Arrow-Enthoven sufficiency theorem holds. Find out (r;, x;) that satisfies Kuhn-Tucker conditions