Calculating and Interpreting Production Possibilities
An economy's production possibility is described by the function y = 20(24-t)^0.5, where 'y' is the total output and 't' is the hours of free time per day.
- Calculate the total output if the population has 8 hours of free time per day.
- Calculate the total output if the population has 15 hours of free time per day.
- Explain what the shape of this production function, as implied by your calculations, suggests about the productivity of each additional hour of labor.
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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.
- In Economy B, the parameter b is 0.4.
Which of the following statements accurately compares the two economies?