Consider the following linear program and answer the following questions.

Max $3$A $+4$B

s$.$t$.$

$1$A $+2$B $<=9$

$1$A $+2$B $<=13$

$2$A $+1$B $<=16$

A$,$ B $>=0$

$($a$)$

Write the problem in standard form.

Max $3$A $+4$B $+$

Correct: Your answer is correct.

S$1+$

Correct: Your answer is correct.

S$2+$

Correct: Your answer is correct.

S$3$

s$.$t$.$

$1$A $+2$B $+$

Correct: Your answer is correct.

$=9$

$1$A $+2$B $+$

Correct: Your answer is correct.

$=13$

$2$A $+1$B $+$

Correct: Your answer is correct.

$=16$

A$,$ B$,$ S$1,$ S$2,$ S$3$

$>=$

Correct: Your answer is correct.

$0$

$($b$)$

Solve the problem using the graphical solution procedure.

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

Correct: Your answer is correct.

$($c$)$

What are the values of the three slack variables at the optimal solution?