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To account for a variable's lower bound, you substitute a new variable to shift the bound to zero. For example, if $x_3 \ge 2$, you define $x_3' = x_3 - 2$.

Conditions: One or more variables have a lower bound greater than zero.; The other variables are nonnegative.; The equation is of the form $x_1+\cdots+x_n=r$.

To account for a variable's lower bound, you substitute a new variable to shift the bound to zero. For example, if $x_3 \ge 2$, you define $x_3' = x_3 - 2$.

Conditions: One or more variables have a lower bound greater than zero.; The other variables are nonnegative.; The equation is of the form $x_1+\cdots+x_n=r$.