Consider an economy with two consumers, A and B, and two goods, 1 and 2. The function of consumer A is given by U (x¹_a, x²_a) = x¹_a + 2x_a²and its initial allocation is (w¹_a, w_a²) = (131, 81). The utility function of consumer B is given by U (x¹_b, x²_b) = x¹_b + 9ln (x²_b) and its initial allocation is (w¹_b, w²_b) = (55,24).

Set up the Pareto (or central planner) problem of this economy