Using equation (11.10), derive a formula for the steady-state growth rate of income per person and the capital-labor ratio in terms of the autonomous growth factor, a, and elasticity of output with respect to the capital input, b. Use this formula to discuss how the steady-state growth rate of income per person and the capital-labor ratio change due to an increase in (i), the autonomous growth factor, and (ii), the elasticity of output with respect to the capital input.