(30 points) The aggregate production function of Hegland can be represented by the following Cobb Douglas function: Yt = At*Kt'2*Lt'3 where Y is real output, A is the level of technology (TFP), K is the capital stock and L is the number of workers. The table below presents the data for this variables in 2016 and 2017. Year Real GDP Capital Stock Workers 2016 125 000 70000 80000 2017 135 000 71400 84000 Answer the following questions for this economy: a. (5 points) Does this function exhibits constant return to scale? Why or why not? b. (5 points) What is the share of output that is paid to the workers in this economy? c. (5 points) If the capital stock increases by 1% (and everything else is constant) by how much real output would increase in percentage terms? d. (10 points) How much of the output growth in 2017 is explained by capital stock growth, the increase in the number of workers, and the technological change? e. (5 points) Explain why it is so important to know whether growth comes from technological innovations