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The basic is a variable that has a coefficient of 1 with it and is found only in one constraint. Each constraint must have one basis variable. Now in the constraint system it is necessary to find a sufficient number of basis variables. Compensating variables are included in the objective function of the problem with a zero coefficient.
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If an inequality of the form ≤, then the compensating variable has the sign +, if the inequality of the form ≥, then the compensating variable has the sign. Next, you need to get rid of inequalities, for which we introduce compensating variables in the left-hand side of the inequalities. After this manipulation, the sign of inequality is reversed. For what the corresponding restrictions are multiplied by -1. The preliminary stage begins with the need to get rid of negative values (if any) in the right part of the restrictions.