Assume that a country's production function is Y = K0.4L0.6 and there is no population growth or technological change. a. What is the per-worker production function y=f(k)? (NB: Write out only your final answer) b. Assume that the country possesses 4,000 units of capital and 1,000 units of labor. What is Y? What is labor productivity computed from the per-worker production function?Is this value the same as labor productivity computed from the original production function? (leave your answer to 4 decimal places where applicable) (NB: Write out only your final answer)