Of which: + X 1: the amount of use of inputs 1; + X 2: the amount of use the second input element;+ X 3: use third inputs;…+ Xn: Volume use the nth input elements; + P1: Price of inputs 1; + P2: Price of the second input element;+ P3: Price of the third input elements;…+ Pn: Price of the nth input elements;To find the extreme values, we can use Lagrance techniques by building Lagrance function as follows:
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