Consider a one-consumer one-firm economy in which u(x) = (x_z)³(x_q)², = 2 and f(z) = z.

a) Illustrate this economy in an Edgeworth Box

b) Derive the Pareto set of this economy.

c) Fix some Pareto-Efficient allocations from b) and derive a competitive equilibrium for this economy that generates these allocations.