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Derive the Input directional distance function for the Leontief production technology y =min[x 1 /a 1 ; x 2 /a 2 ,...x n /a n

Derive the Input directional distance function for the Leontief production technology

y =min[x1/a1; x2/a2,...xn/an}

assuming the input direction vector isgx= (1,1,1...,1).

Follow clear and properly explained step in your derivation. Show that the derived distance function satisfies the translation property.

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