Suppose the economy's production function is: Ira/Fm and both the marginal propensity to save (5) and the depreciation rate ((5) are equal to 0.10. Further, suppose that the number of workers grows at 1.5% per year (I: = 0.015) and the rate of technological progress is 3.5% per year (as: 0.035). 3) Write the production function in efficiency units of labour, and draw it in a graph. Add to the graph a line representing the amount of investment that is required to keep K/AL constant over time. b) Find the steady-state values of: i.The capital stock per effective worker ii. Output per effective worker iii. The growth rate of output c) Suppose that the rate of technological progress increases to 7% per year. Recalculate the answers to (i) through to (iii) above. d) Now suppose that the rate of technological progress is 7% per year, and the number of workers grows at 3% per year. Show the new steady state in the Solow diagram and compute the steady-state growth rate of output. End