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Given that the production function is Cobb-Douglas Yt = AKt Lt ; Saving is a con- stant fraction of the total income, so It = sYt; Labor supply is fixed, i.e. Lt = L. a) Derive the function of the evolution of capital (as a function of Kt, Kt+1 and ex- ogenous variables or parameters). b) Plot output, investment and depreciation in the Solow Diagram. c) Show the transition dynamics in the Solow model if the economy starts at Ko with sYo