, show working, appreciate it.

3. Quarantine and Economic Growth: Let's consider the eect of removing nonessential workers from the labour force on economic growth during a quarantine. Consider the following modication to the model of endogenous growth: Ye) = ilaLJAvJELm As}. = spLsLenuev where E is a parameter between zero and one that measures the proportion of the avaable workforce that is deemed {E)ssential and can continue to work during the quarantine. {a} How does the value of E aEect output per worker {y = YfL]? Derive an expression for y. [f E falls, what happens to y? {3 points) (b) Find the balanced growth path value of 9.4: i.e. gr\" for this model. Does it depend on E? Show your work. {2 points] {c} Draw a graph of the log of 3; over time that shows the impact of a fall in E. Explain. (Hint: Think about the imasitions dynamics in, this models] {3 points) (d) If the number of people working on research and development of a vaccine for CDVID-IQ increases {EL 1}}. can we get faster growth in A in the short run? What about in the long run? {2 points)