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A Hypothetical Logarithmic Feasible Frontier for Marina

A hypothetical scenario for Marina's feasible frontier can be represented by a logarithmic function. The equation is given by f(t)=100ln(25t)f(t) = 100 \ln(25 - t), where f(t)f(t) represents the maximum consumption and tt represents the hours of free time. In this model, if Marina takes 24 hours of free time (t=24t = 24), her maximum consumption is zero since ln(1)=0\ln(1) = 0. The logarithmic shape reflects diminishing marginal returns, meaning consumption increases at a decreasing rate as free time is sacrificed.

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Updated 2026-06-25

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