Assume an economy without population growth or technological progress. Their production function is given by ? = 35?0.5. Their currency capital stock is 100, and the depreciation rate is 17.5%. Give a savings rate such that: Income per worker will grow over the current period Income per worker stay the same over the current period Income per worker will fall over the current period (Hint: First, find how the capital stock will change with the savings rate you choose, then how will this change in capital stock affect income per worker?)

Principles of Economics 2e
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ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter20: Economic Growth
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Assume an economy without population growth or technological progress. Their production function is given by ? = 35?0.5. Their currency capital stock is 100, and the depreciation rate is 17.5%. Give a savings rate such that:

  1. Income per worker will grow over the current period

  2. Income per worker stay the same over the current period

  3. Income per worker will fall over the current period

  4. (Hint: First, find how the capital stock will change with the savings rate you choose, then how will this change in capital stock affect income per worker?)

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