# Changing coefficient in objective function for Linear programming problem

Suppose I've a linear programming problem:

Maximize $2x_1 +x_2 - x_3$ s.t

$x_1 +2x_2 +x_3 \leq 8$

$-x_1 +x_2 -2x_3 \leq 4$

$x_1,x_2,x_2 \geq 0$

and a final tableau:

What would happen to the optimal solution if I changed the coefficient of $x_2$ in the objective function from $1$ to $5$.

I know decreasing it wouldn't make a difference but not sure how to do sensitivity analysis on this because it is increased and is a non-basic variable..

Also, suppose the coefficient of $x_3$ in the second constraint is changed from $-2$ to $1$. How might this affect the solution?

Could you explain your thought process.. I can only seem to take a high-level guess.