Consider the standard form linear program (P):

min z=cTx

s.t Ax=b

x0

xRn

where mn matrix A has rank m. Also consider the modified linear program (Q):

min z=cTx

s.t Ax=b+

x0

xRn

in the same variables, and is a vector of "small" parameters. Give a scenario for which it may be advantageous to solve (Q) instead of (P). Provide a low-dimensional example to illustrate your idea. Quantify the idea of a "small" parameter in this case