An increase in research productivity: Suppose the economy is on a balanced growth path in the Romer model, and then, in the year 2030, research productivity z̅ rises immediately and permanently to the new level z̅′. Solve for the new growth rate of knowledge and yt. Make a graph of yt over time using a ratio scale. Why might research productivity increase in an economy?

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter16: Economic Growth
Section: Chapter Questions
Problem 3E
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  1. An increase in research productivity: Suppose the economy is on a balanced growth path in the Romer model, and then, in the year 2030, research productivity  rises immediately and permanently to the new level z̅′.
    1. Solve for the new growth rate of knowledge and yt.
    2. Make a graph of yt over time using a ratio scale.
    3. Why might research productivity increase in an economy?

I do not understand how to solve this, I'm confused. Am I supposed to make an equation or write out an answer?

 

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