The Lewis Model: Consider a dual economy that has a completely elastic supply of labor at (wage)up to = 5 up to 250 units, at which point the labor supply curve reaches the "turn-up-point," where rural labor is no longer in surplus and wages begin to rise.Suppose that the inverse demand function for labor is , whereis =, where the wage,Kis capital, and Lis labor units.Let's extend the Lewis model to say that all capital is put in place at the beginning of a decade and fully depreciates at the very end of every decade.But as in the Lewis model, all of the surplus to capital owners from production in the previous decade is re-invested to create the new capital for the subsequent decade.Suppose the newly industrializing economy starts in its first decade with 10 units of capital.How many decades will it take for the economy to reach the "turn-up-point" where wages rise?