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a) Derive the Input distance function for the production function y = x 0.8 b)Derive the Output distance function for the production function y =

a) Derive the Input distance function for the production function y = x0.8

b)Derive the Output distance function for the production function y = min {3x1, 0.5x2}

c) Derive the Output distance function for the production function y = 16x - 2x2

d) Derive the Output directional distance function for the production function y = 16x - 2x2

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