1. Suppose that the production function is given by a. Derive the steady state levels of capital per worker and output per worker in terms of the saving rate {5} and the depreciation rate {a}. b. Derive the equation for steadystate output per worker and steadystate consumption per worker in terms of s and E. c. Suppose that E- = 5% [=D.-5). lCalculate the steadystate levels output per worker and the steadystate level of consumption per worker as afunction of the saving rate. Show these relationships on a diagram (you can use Excel to do this}. e. What is the golden rule level of capital per worker? What is the saving rate associate with it? t. What saving rate maximizes steady:' state level of output per worker