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HOMOGENEOUS OF DEGREE ONE: A property of an equation the exists if independent variables are increased by a constant value, then the dependent variable is increased by the same value. In other words, if the independent variables are doubled, then the dependent variable is also doubled. This property often surfaces in the analysis of production functions. A production function homogeneous of degree one is said to have constant returns to scale.
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                           CONSTANT RETURNS TO SCALE: A given proportional change in all resources in the long run results in the same proportional change in production. Constant returns to scale exists if a firm increases ALL resources--labor, capital, and other inputs--by 10 percent, and output also increases by 10 percent. This is one of three returns to scale. The other two are increasing returns to scale and decreasing returns to scale. Constant returns to scale results if long run production changes are greater than proportional changes in all inputs used by a firm.Suppose, for example, that The Wacky Willy Company employs 1,000 workers in a 5,000 square foot factory to produce 1 million Stuffed Amigos (those cute and cuddly armadillos, tarantulas, and scorpions) each month. Constant returns to scale exists if the scale of operation expands to 2,000 workers in a 10,000 square foot factory (a doubling of the inputs) and production increases to exactly 2 million Stuffed Amigos. The anticipated pattern for most production activities is that increasing returns to scale emerge for relatively small levels of production, which is then following by constant returns to scale and decreasing returns to scale. Returns to scale are the flip side of economies and diseconomies of scale. Although economies and diseconomies of scale focus on changes in average cost, returns to scale focus on production. One way to view constant returns to scale is the quantity of production or the range or production in which the forces underlying increasing returns to scale exactly balance the forces underlying decreasing returns to scale.
Recommended Citation:CONSTANT RETURNS TO SCALE, AmosWEB Encyclonomic WEB*pedia, http://www.AmosWEB.com, AmosWEB LLC, 2000-2020. [Accessed: September 27, 2020].
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