1. Consider the following maximization problem Max (2/5)[02/(22+1)] + 2 ln(21 +1) subject to: (i) 3.61 + 5x2 0 (iii) x2 > 0 (Q) Assume (without proof) that (Q) has a solution. Denote the solution to be (3*, **) ER?. (a) Denote by L the Lagrange function associated with the problem (Q). Write the Kuhn- Tucker conditions that the solution (21, 2) e R$ and the multipliers associated with (i), (ii) and (iii), 1*, q* and 5* must satisfy. (b) Find the solution ( 0 (iii) x2 > 0 (Q) Assume (without proof) that (Q) has a solution. Denote the solution to be (3*, **) ER?. (a) Denote by L the Lagrange function associated with the problem (Q). Write the Kuhn- Tucker conditions that the solution (21, 2) e R$ and the multipliers associated with (i), (ii) and (iii), 1*, q* and 5* must satisfy. (b) Find the solution (