Consider a two-consumer economy in which^A= (1,1),^B= (3,0),u^A(x₁^A, x₂^A) =x₁^Ax₂^Aandu^B(x₁^B,x₂^B) = (x₁^B)²x₂^B. A and B represent the consumers.

a) Derive the Pareto set of this economy

b) Derive fair allocations

c) Derive a competitive equilibrium for this economy that generates the allocations found in "b)"