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Feasible Frontier for a Power Production Function (y = a(24-t)^b)

When an economy's production technology is represented by a power function of the form g(h)=ahbg(h) = ah^b, the corresponding feasible frontier equation becomes y=a(24t)by = a(24-t)^b. This derivation assumes that labor hours, hh, are related to free time, tt, by the equation h=24th=24-t. The parameters are constrained such that a>0a > 0, ensuring positive output, and 0<b<10 < b < 1, which reflects the principle of diminishing marginal product of labor.

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Introduction to Microeconomics Course

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