Consider a modified version of the basic Solow growth model where the aggregate production function is
F (K;L;Z) = LβKαZ(1-α-β);
where Z is land, available in fixed inelastic supply. Assume that α+β< 1, capital depreciates at
the rate: σ, and there is an exogenous saving rate of s. Suppose that there is no population growth.
1) Find the steady-state capital-labor ratio and the steady-state output level.
2)Prove that the steady state is unique and globally stable.