Question
Why is production possibility curve concave?

Answer

self

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The production function is a mathematical expression which relates the quantity of factor inputs to the quantity of outputs that result. The short run production function is defined in economics as a period of time where at least one factor of production is assumed to be fixed. The analysis of short run production sets the stage to better understand the supply-side of the market. How producers respond to price depends, in part, on their ability to combine inputs to produce output. This ability is guided by the law of diminishing marginal returns, which states that the productivity of a variable input declines as more is added to a fixed input. If productivity declines, then more of the variable input is needed as the quantity produced increases. This results in an increase in production cost, which means producers need to receive a higher price.
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