\f{i. If capital per-efficient. worker is at its steady state value, does output per efficient worker grow over time? Recall that output per worker is given by y Y3 /Ls. Use our definition of output per-efficient worker to replace Y; and write Ly W= Htr- Lt What is the growth rate of output per worker e Gy = 1 " W if capital per-eflicient worker is at its steady-state value? Suppose that the savings raie in this economy increases to 5 = 0.3, What happens to steadyv-state level of capital per-efficient worker? Is it higher, lower, the same? Jontinue assuming that the savings rate in this economy increases to s = 0.3, What happens to steady-staie level of ontput per-efficient worker? s it higher, lower, the same? Recompute the growth rate of output per worker g, with the higher savings rate s 0.3. Is it higher, lower, the same? Use your results to comment on how does the savings rate affect the growth rate ol outpui per capita in this model