Evaluating Economic Growth Policies
A government wants to increase its economy's total output. The relationship between output (y) and hours of free time (t) is given by the equation y = a(24-t)^b, where 'a' represents the level of technology and 'b' (0 < b < 1) represents the effectiveness of additional labor hours.
Two policies are proposed:
- Policy 1: Invest in new machinery, which will increase the value of 'a'.
- Policy 2: Implement a new training program, which will increase the value of 'b' (e.g., from 0.5 to 0.7).
Evaluate the two policies. In your answer, compare how each policy would change the economy's feasible set of choices between output and free time. Discuss which policy might be considered 'better' and under what circumstances, considering the trade-offs involved.
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Two economies, A and B, have identical technology and labor endowments. Their production of a good (y) is a function of the hours of free time (t) their populations have, described by the equation y = 10(24-t)^b.
- In Economy A, the parameter b is 0.8.
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