An economy initially has 200 units of physical capital per worker. Each year, it increases the amount of physical capital per worker by 10%. According to the aggregate production function for this economy, each 1% increase in physical capital per worker, holding human capital and technology constant, increases real output per worker by 0.25%.
a. If real output per worker is initially $1,000, what will it equal as a result of only the increase in physical capital per worker (i) after one year? (ii) after two years?
b. If after two years real output per worker is actually $1,100, how much of its growth was due to increase in human capital and technological progress?