$14$

Consider the following linear program.

Max $3A+4B$

$s.t.$

$,$

$-1A+2B9$

$,1A+2B11$

$,2A+1B18$

$,A,B0$

$($a$)$ Write the problem in standard form.

$A,B,S_1,S_2,S_3,0$

$($b$)$ Solve the problem using the graphical solution procedure.

$(A,B)=(,)$

$($c$)$ What are the values of the three slack variables at the optimal solution?

$S_1=$

$S_2=$

$S_3=$