Subjective Questions on Show that is a production function that represents the average of two inputs L and K ........... for Indian Economic Service Preparation

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Show that is a production function that represents the average of two inputs L and K ...........

Economics-I Theory of Production and Cost
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    Show that q=\gamma \left [ \delta L ^{-\alpha } +\left ( 1-\delta \right ) K^{-\alpha }\right ]^{-\frac{1}{\alpha }}  is a production function that represents the average of two inputs L and K for different values of \alpha, given that \gamma > 0  and 0< \delta < 1. (12 Marks) (200 words) 

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