Interpreting Productivity from Production Function Geometry
A manager of a factory observes that on their production graph, which plots total units produced (vertical axis) against total labor hours (horizontal axis), the ray drawn from the origin to the point representing 1,000 labor hours is visibly steeper than the ray drawn from the origin to the point representing 2,000 labor hours. Without performing any calculations, explain what this visual observation implies about the factory's average productivity as labor hours increase from 1,000 to 2,000. Justify your answer by relating the geometry of the rays to the concept of average product.
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