1. State, and explain in detail, whether you agree or disagree with the following each) (a) The CES production function exhibits non-increasing returns to scale.

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1. State , and explain in detail, whether you agree or disagree with the following
each)
(a) The CES production function exhibits non-increasing returns to scale.
(b) Let f be a homothetic technology. It must therefore be true that if x and x' can both
produce y units of output, then 2x and 2x' can both produce 2y units of output.
(c) If a firm's technology exhibits non-decreasing returns to scale, it also exhibits increasing
returns to scale.
(d) For all functions homogeneous of degree 1, the ratio of partial derivatives is
homogeneous of degree zero.
(e) The profit function is non-decreasing in output prices.
Transcribed Image Text:1. State , and explain in detail, whether you agree or disagree with the following each) (a) The CES production function exhibits non-increasing returns to scale. (b) Let f be a homothetic technology. It must therefore be true that if x and x' can both produce y units of output, then 2x and 2x' can both produce 2y units of output. (c) If a firm's technology exhibits non-decreasing returns to scale, it also exhibits increasing returns to scale. (d) For all functions homogeneous of degree 1, the ratio of partial derivatives is homogeneous of degree zero. (e) The profit function is non-decreasing in output prices.
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