Consider a version of Solow model where economic agents save nothing if income is below some threshold y~ and save a constant fraction s~ of income above y~. The production function is given by y=k. There is no technological change. Depreciation rate of capital is . Population growth rate is n. (a) Plot separate Solow diagrams to illustrate the steady state(s) under each scenario for y~ [Tip: There is a threshold for y~ that separates two potential cases]. (b) Derive closed form expressions for the steady states and comment on their local/global stability