A production function is said to be homogeneous of degree ( if ((xL, xK) = x(((L, K),

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A production function is said to be homogeneous of degree ( if ((xL, xK) = x(((L, K), where x is a positive constant. That is, the production function has the same returns to scale for every combination of inputs. For such a production function, show that the marginal product of labor and marginal product of capital functions are homogeneous of degree ( - 1?

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