Suppose that Sto Lat has reached its steady state and it's been in it for a number of years, when suddenly one of the events listed below happens. For each one, use the Solow model diagram to show if and how the steady state will change. Use arrows on the horizontal axis (the K axis) to indicate how capital will adjust over time. Finally, plot the time path of total capital stock and GDP per capita from before the event. Be sure to describe the immediate (shortrun) effect and the longrun effect. You don't have to give numerical answers, a qualitative description will suice (this means identifying which variables will change and the direction of change but not necessarily telling me how much they will change). 1. The government introduces a tax on interest income, which discourages households from saving. As a result, the saving/investment rate drops perma- nently to 0.2. 2. Rising sea levels speed up the erosion of coastal areas, permanently in- creasing the rate of damage to roads, bridges, houses, hotels, and ports. No person is injured. As a result the depreciation rate rises permanently to 0.15. 3. Cheap one-way interstellar travel becomes a possibility, and half of Sto Lat's population leaves permanently for Mars. They do not take any capital with them. 4. Cheap one-way interstellar travel becomes a possibility, and half of Sto Lat's population leaves permanently for Mars. Each person that leaves, takes takes some capital with them. Specically, they are allowed to take the equiva- lent of the value of capital per capita with them. 5. A large asteroid hits Sto Lat. It kills half of the population and destroys 1/3 of the capital stock