can you help me solve this using excel and solver:

Consider the following linear program and answer the following questions.

Max $3A+4B$

$s.t.$

$-1A+2B9$

$1A+2B10$

$2A+1B12$

$A,B0$

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

Max$3A+4B+(,)S_1+(,)S_2+(,)S_3$

$s.t.$

$-1A+2B+$

$=9$

$1A+2B$

$t$

$=10$

$2A+1B$

$+$

$=12$

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

$($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?

$S_1=$

$S_2=$

$S_3=$