Question 1 (25 points) Suppose that there are two groups of people in the economy described by the Endogenous Growth model. In group , individual accumulates human capital according to = (1 )[ + (1 )]) where is the individual 's human capital in the future period, 0 < < 1, is the individual's current human capital, and is average human capital across group , (j = 1,2) . All individuals in the economy choose the same . a. What happens to incomes in groups 1 and 2 in the long run? (10 points) b. Explain why the production function studied in this model has constant return to scale in human capital. (5 points) c. Based on the equation for provided above, write the growth rate in human capital for individual . (5 points) d. Explain why the smaller the individual's human capital () relative to the average (), the larger will be the growth rate in human capital, consumption, and investment. (5 points)