The following FOUR variable linear program could be solved using Excel. $($You cannot solve this problem easily with the graphical method$).$

MAXIMIZE $21+52+33+7x4$; subject to the constraints:

$x1+x2+x3+x410$

$2x1+32+1x3+6x417$

$x10$;$x20,x30,x40$

SUPPOSE AFTER SOLVING THE ABOVE PROBLEM YOU REALIZE THAT YOU OMITTED THE FOLLOWING CONSTRAINT IN THE FORMULATION:

$x1+22+33+x45$

The optimal solution value for the new problem that includes the omitted constraint can be easily guessed from the sensitivity report of the old problem $($that does not include the omitted constraint$).$

True

False