Optimality $($PO$)$ and Sensitivity Analysis $($SA$)$

A$.$ Changes that affect FEASIBILITY:

$1.$ Changing the right$-$hand$-$side $($RHS$)$

$2.$ Adding a new constraint

Example A: Consider the following LP:

Optimal tableau:

Maximize

$=3$

$+2$

Subject to

$+$

$<=4$

$2$

$+$

$<=10$

$,$

$>=0$

BV

$2$

RHS

$013012$

$11104$

$0-1-212$

Find how does each of the following scenarios affect the current optimal $($and feasible$)$ solution:

a$.$ Change the value of

to be $8.$

$($Answer: the current solution becomes infeasible, new z$=18)$