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Jul 29, 2019 · As a result, we have constant returns to scale. Q=.5KL: Again, we increase both K and L by m and create a new production function. Q’ = .5 (K*m)* (L*m) = .5*K*L*m 2 = Q * m 2. Since m > 1, then m 2 > m. Our new production has increased by more than m, so we have increasing returns to scale. Q=K0.3L0.2: Again, we increase both K and L by m and ...
In economics, the concept of returns to scale arises in the context of a firm's production function. It explains the long-run linkage of increase in output (production) relative to associated increases in the inputs ( factors of production ). In the long run, all factors of production are variable and subject to change in response to a given ...
Jan 31, 2024 · Returns to scale in economics is a term that defines the relationship between the input changes in proportion with the output during production using the same type of technology. It reflects the change or variation in productivity. A producer commonly uses inputs such as labor and capital to produce goods and services.
Returns to scale tells us how the output changes as all inputs change by the same factor; the marginal product concerns how output changes as one input changes, holding all other inputs fixed. In particular, a production function can have increasing returns to scale even though the marginal product of every input decreases as more of that input ...
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Exercise 5.4-1: Increasing Returns to Scale If the strictly increasing production function F( )⋅ exhibits increasing returns to scale show that for all z ≠ 0 and µ∈(0,1) ,F z F z( ) ( )µ µ< . Exercise 5.4-2: Returns to Scale and Average cost Prove that if a firm exhibits increasing/decreasing returns to scale then average cost must