Formula

Marina's Income as a Production Function

Marina's daily income is modeled by a production function, f(h)f(h), where hh is her hours of work. This function shows that as her work hours increase from 0 to 16, her income grows from $0 to $400. A key characteristic is its diminishing productivity, meaning income rises at a decreasing rate. The specific mathematical expression used to model this relationship is f(h)=400(1(1h/16)a)1/af(h) = 400(1 - (1 - h/16)^a)^{1/a}, with the parameter aa set to 1.6 to define the curve's shape.

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Updated 2026-05-02

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