The utility function of an individual is u₁(x₁) = x₁₁+ x₁₂with x₁>0 and his endowment e1 = (2,4) and the utility of another u₂(x₂) = x₂₁+ 2x₂₂with x₂>0 and his endowment e2 = (4,2)

1) Compute the competitive equilibria

2) Is the competitive equilibrium allocation unique?

3) Compute the pareto optimal allocations.