Question: 5. (30 points) The general Cobb-Douglas function is F(x1, x2, - (a) Prove that it is homogeneous. ---, x) = Ax x.. (b) Examine

5. (30 points) The general Cobb-Douglas function is F(x1, x2, - (a)

5. (30 points) The general Cobb-Douglas function is F(x1, x2, - (a) Prove that it is homogeneous. ---, x) = Ax x.. (b) Examine when it has constant/decreasing/increasing returns to scale. (c) Show that n & F(x1, x2, x) = kF(x1, x2, ..., xn) i=1 OF xi = Oxi F where ka and i

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