Consider the following linear program.

Min $8x+12y$

s$.$t$.$

$($a$)$ Use the graphleslselution procedure to find the batinashathe

What is the value of the objective function abtha opt phan soman?

at $(x,y)=$

Does the optimal solution change?

$($c$)$ Asstime that the objective function coefficient fon $x$ remains $8,$ but the abe

Does the optimal solution change?

How would this objective coefficient range information help you answer parts $($b$)$ and $($c$)$ prior to ressolving the problem?