plz help me the question

Consider a competitive economy in which there are only two goods, good a and good 11. Aggregate demand for good a is: QE : 400 4013,, (1) Aggregate supply for good a is: Qi = 10% (2) Aggregate demand for good b is: QE 2 600 10Pb (3) Aggregate supply for good b is: 15,: 2on (4) I. for each good i, where i 6 {a,b}, nd the competitive equilibrium price PE: and the competitive equilibrium quantity Q2\"; 11. for each good i, nd the price elasticity of demand and the price elasticity of supply at P15, which we respectively call I]? and 11?; III. In this economy, the government wants to raise R = 1000 AUD while minimising the deadweight loss of the taxes introduced. Hence, the government needs to solve the Ramsey problem shown below. Solve the Ramsey problem and briey comment on the results (less than 300 words). If you choose to solve it using the Lagrangian method, proceed by finding the FOCs as if you were solving a maximisation problem: the calculations are exactly the same; min nana Qa nonb Qb Ta, Tb 2 (18 - na) X T X P* + 2 ( n5 - n ) X TO X a PK (5) subject to (QqPqTa +QiPitb) = R (6) IV. What is the impact of a change in Ta on P