Math Problem Statement
a firms production function is given by: Q=100K^0.5L^0.5. Find and expression for: i) marginal rate of technical substitution. ii) elasticity of output with respect to capital . iii) Elasticity of output with respect to labour
Solution
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Math Problem Analysis
Mathematical Concepts
Production Function
Marginal Rate of Technical Substitution
Elasticity of Output
Formulas
Production function: Q = 100K^{0.5}L^{0.5}
MRTS: -\frac{K}{L}
Elasticity of Output with Respect to Capital: \varepsilon_K = \frac{1}{2}
Elasticity of Output with Respect to Labor: \varepsilon_L = \frac{1}{2}
Theorems
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Suitable Grade Level
Undergraduate
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