Consider the following linear program and answer the answer the following questions.

Max$1A+2B$

$s.t.$

$1A8$

$1B7$

$2A+2B=18$

$A,B0$

$($a$)$ Show the feasible region.

$($i$)$

$($i$)$

$($i$)$

$($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.

$(A,B)=()$