Suppose an economy behaves according to the Solow growth model with a Cobb- Douglas production function. It starts out at t = 0 at a steady state. Dene and mathematically derive the steadystate levels of capital and output, explaining your approach and referring to key assumptions Where applicable. Introduce A into the production function, Where A represents a Hicks-neutral technological improvement and Show how steadystate levels of capital and output change relative to your previous solution if A > 1 (i.e., is steady state higher, lower, or the same?). Graphically illustrate the steady state levels of capital and output for A : 1 and A > 1. Make sure your figure is fully labelled. [10 marks]