Consider the following linear program and answer the answer the following questions. Max $1$A $+2$B s$.$t$.1$A $<=31$B $<=22$A $+2$B $=8$ A$,$ B $>=0($a$)$ Show the feasible region. $($b$)$ What are the extreme points of the feasible region? smaller x$-$value $($A$,$ B$)=(?)$ larger x$-$value $($A$,$ B$)=(?)($c$)$ Find the optimal solution using the graphical procedure. $($A$,$ B$)=(?)$ Consider the following linear program and answer the answer the following questions.

$[$ Max $1$ A$+2$ B; s$.$t$.$; $1$ A $<=3$; $1$ B $<=2$; $2$ A$+2$ B$=8$; A$,$ B $>=0]$

$($a$)$ Show the feasible region. $($i$)($b$)$ What are the extreme points of the feasible region? smaller x$-$value larger x$-$value

$[($A$,$ B$)=()$; $($A$,$ B$)=()]$

c$)$ Find the optimal solution using the graphical procedure.Consider the following linear program and answer the answer the following questions.

$[$ Max $1$ A$+2$ B; s$.$t$.$; $1$ A $<=3$; $1$ B $<=2$; $2$ A$+2$ B$=8$; A$,$ B $>=0]$

$($a$)$ Show the feasible region. $($b$)$ What are the extreme points of the feasible region? smaller x$-$value

$[($A$,$ B$)=$; $($A$,$ B$)=]$

larger x$-$value

$[)$; $)]$

$($c$)$ Find the optimal solution using the graphical procedure.

$($A$,$ B$)=()$