Problem 10 The Solow Growth Model is an exogenous model of economic growth that analyzes changes in the level of output in an economy over time as a result of changes in the population growth rate, the savings rate, and the rate of technological progress. Write a short script that simulates the traditional Solow growth model in its simplest form (i.e.: in the absence of population growth and technological progress) using the following parameters specification: Parameter 8 kmax kmin A S Table 1: Description Share of capital in the economy Discount Factor Depreciation rate Maximum value for capital stock Initial value for capital stock Technology Parameter Saving rate Convergence criterion Value 0.25 0.96 0.20 1.00 0.1 1 0.2 le-5 where the aggregate production technology is given by Y = AKN-a. Plot the transition paths for (per-capita) capital, output, investment and consumption.