1. In a certain eountcry1 the production function is y = elk!\" (note: 0: = lf2}.The fraction of output in'lurested1 s, is 0.25. The depreciation rate r5 = H.135. A, the overall productivity parameter, equals 1. {a} What are the steady state levels of capital per WDI'lIEEI', k, and output per worker, y? {In} In year 11 suppose the level of capital per marker, k1 was 1E. Complete the table below tracing how capital and output per worker change over time [the beginning is lled in as a dernenstcration]. llil'ontinue the table upto year 3. Note that kr is the growth rate of k and :5ny is the growth rate of 3;. Hints: I You need to use the following growth rate rule to go from in to y: If y = Jr\" then,1 s = as y k I Also note that I have not calculated the growth rates for the rst year {because we do not have values for anything preceding it}. I Capital per worker in the seeond year 1will he capital per worker in the rst year plus the change in capital in the rst year. .19..- . -' \"nn 1ll-'Ilznl'e generally, for any mathematical Function 2: = 1:;th # = v13.E + In? _