1. You are asked to analyze each of the following events using the Solow growth model (the events all happen at time 0): a) The investment rate rises in Tanzania. b) Immigration increases the population of France by 10%. c) An earthquake destroys 10% of the capital stock of Chile. (Hint: does steady-state GDP per capita change in Chile?) d) Malaysia realizes a 10% rise in TFP due to technology transfer. For each of these: Draw a Solow diagram to show what happens when the economy is initially in steady state. Explain how steady-state GDP per capita changes. Use algebra to help in your explanation. Does steady-state capital per person change? Explain how the growth rate of GDP per capita changes at time 0. Explain how the economy adjusts from the short run to the long run after the change.