Consider the Solow model with the production function, y=Ak1/2 wherey(=Y/L) is output per worker, A is productivity, and k(=K/L) is capital per worker. The capital accumulation equation is Ak=yy-(n+)k (a) What are the expressions for steady state values of y and k? (b) Consider the following two scenarios (a) A natural disaster destroys half of the capital but does not cause any death. (b) A pandemic kills half of the population but does not destroy any physical capital. Compare and contrast the (a) The effects on k in the immediate aftermath, (b) and with the help of diagrams the subsequent growth paths of k and new steady states (if any).