Suppose the US economy is characterized by the following equations: Production Function: Y,= Kini Allocation of Resources: I1 = sY Capital Accumulation: K++1 - K4 = I. - SK, Supposes .1 and 8 = .1. (a) Solve for the steady state level of capital per worker. (b) Solve for the steady state level of output per worker. (c) Suppose the depreciation rate increases permanently from 1 to .2, what will be the new steady state levels of capital per worker and output per worker? (d) Compute the path of capital per worker and output per worker over the first three periods after the change in the depreciation rate. Suppose the US economy is characterized by the following equations: Production Function: Y,= Kini Allocation of Resources: I1 = sY Capital Accumulation: K++1 - K4 = I. - SK, Supposes .1 and 8 = .1. (a) Solve for the steady state level of capital per worker. (b) Solve for the steady state level of output per worker. (c) Suppose the depreciation rate increases permanently from 1 to .2, what will be the new steady state levels of capital per worker and output per worker? (d) Compute the path of capital per worker and output per worker over the first three periods after the change in the depreciation rate