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Questions › DSE › DSE 2011 › Q44
2 marksMicroeconomics › Production and returns to scale › Production functions and the elasticity of substitutionModerateabout 3 min

DSE 2011 Question 44: Production and returns to scale

A firm uses two inputs to produce output. Greater use of both inputs increases output. Moreover, for any combination of positive input prices, the firm employs an input combination of the form (x,αx)(x,\alpha x)(x,αx) where α>0\alpha>0α>0 is a constant. Which of the following functions represents this firm's technology?

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Plain-text version

A firm uses two inputs to produce output. Greater use of both inputs increases output. Moreover, for any combination of positive input prices, the firm employs an input combination of the form (x,α x) where α>0 is a constant. Which of the following functions represents this firm's technology? (A) f(x,y)=min {x^α,y} (B) f(x,y)=min {α x,y} (C) f(x,y)=min {x,α y} (D) f(x,y)=min {x,y^α}

Also written as: A firm uses two inputs to produce output. Greater use of both inputs increases output. Moreover, for any combination of positive input prices, the firm employs an input combination of the form (x,alpha x) where alpha>0 is a constant. Which of the following functions represents this firm's technology?

Production and returns to scale has come up 92 times in 6 exams since 2007.

What this question tests

This question is on Production functions and the elasticity of substitution, part of Production and returns to scale in Microeconomics.

Cobb-Douglas, CES and fixed-proportions technologies, and how easily inputs substitute.

TestStop has 16 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2022 · Q23Let a production function be log Q = β/αlog (L^α + K^α), where α ∈ (-∞, 1] - {0} and β > 0. Identify the…
Practise Production and returns to scaleMore on Production functions and the elasticity of substitution

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Question from the DSE 2011 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.