2 Pareto-efficient allocations Three agents meet to trade three goods. Each agent has utility function a(x) = VI Agent 1 enters the market with 1 unit of good 1, agent 2 brings 4 units of good 2, and agent 3 brings 25 units of good 3. 1. Suppose the agents do not trade. Is the resulting allocation Pareto-optimal? If yes, calculate an associated set of Pareto weights. If not, find a Pareto improvement. 2. Suppose that the available goods are divided equally between the three agents. (a) Is this allocation Pareto-optimal? If yes, calculate an associated set of Pareto weights. If not, find a Pareto improvement. (b) Does this allocation satisfy voluntary participation? 3. Find a Pareto-optimal allocation which satisfies voluntary participation