Please help me with the questions. Thank you

3. Quarantine and Economic Growth: Let's consider the effect of removing non-essential workers from the labour force on economic growth during a quarantine. Consider the following modication to the model of endogenous growth: m) = (laLMttlELt!) Au) BlaLEL(t)]"'A(t)9 where E is a parameter between zero and one that measures the proportion of the available workforce that is deemed (E)ssential and can continue to work during the quarantine. (a) How does the value of E affect. output per worlner (y = Y/L)? Derive an expression for y. If E falls, what happens to y? (3 points) (b) Find the balanced growth path value of 95.1, i.e. 93, for this model. Dom it depend on E? Show your work. (2 points) (c) Draw a graph of the log of y over time that shows the impact of a fall in E. Explain. (Hint: Think about the transitions dynamics in this models) (3 points) ((1) If the number of people working on research and development of a vaccine for COVID- 19 increase: (cu 11'), can we get faster growth in A in the short run? What about in the long run? (2 points)