Can such an expression be equated to a conditional system in linear programming? How to transform or put him in conditional system?

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I want to create a theoretical biogas production equation. It is necessary to calculate how much to enter the specific raw materials. I am thinking of using one of the methods of solving the optimization problem - linear programming.
Objective function:
Subject to:
Can such an expression be equated to a conditional expression (subject to) in linear programming. How to transform or put him in a conditional equation?
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Rik
Rik 2021-6-10
Have a read here and here. It will greatly improve your chances of getting an answer.
Keep in mind that you know all the context and we don't.
John D'Errico
John D'Errico 2021-6-12
What is conditional here? Note that the second of those equalities listed is not even linear, but you can transform it to be so, by multiplying by the denominator.

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