Consider the following linear program:

Max $5A+2B$

$s.t.$

$,1A-2B445$

$2A+3B610$

$6A-1B125$

$,A,B0$

Write the linear program in stande

Max $5A+2B+()S_3$

$s.t.$

$1A-2B+$

$=445$

$2A+3B$

$=610$

$6A-1B$

$=125$

$A,B,S_1,S_2,S_{3}0$