I have a simple linear program as below:
$min L(x)=\sum_i w_i x_i$
$a\leq f(x_i) \leq b$
where $w_i$ are constants and known calculated by $w_i=(v1_i).*(v2_i)\ \forall i$, where $v1$ and $v2$ are two simple vectors and $.*$ denotes element-wise multiplication (the same meaning of $.*$ in MATLAB). I want to use a simple number like $V\in R$ instead of $v1$, such that the result of original LP does not change (or the objective function L(x) changes very low). In other words I want a real number $A$ can do the same job of the vector $v1$ in terms of LP solution.