1. The Solow Model with Technological Growth: Consider how technological growth would affect the Solow growth model. Suppose that output is produced according to the aggregate production function Y = K\" [EL]1'', where K is capital, L is the labor force, and E is a measure of the effectiveness of workers. The national savings rate is s, the labor force grows at rate 71 > 0, E grows at rate 9 > 0, and capital depreciates at rate :5. (a) Express outputpereffectiveworker (ye E %) as a function of capitalpereffectiveworker (k6 E %) and or. (b) Write an equation that describes the steadystate of k8 in this economy. Illustrate the steadystate graphically. (c) Suppose that a natural disaster destroys a substantial fraction of the economy's capital stock. Depict the immediate effects of this on your gure in (b). (d) Depict the time path of the k5 in this economy, showing the level k5 before, at the time of, and after the event. Do the same for consumptionpereffective worker. (e) Now depict the time paths of percapita capital, 16, and percapita consumption, (3. (f) Now depict the time paths of total capital, K, and total consumption, 0. (g) Does this version of the Solow model provide a genuine model of endogenous long run growth? Explain your