or the linear program:

Max $2$A $+3$B

s$.$t$.$

$5$A $+5$B $<=400$

$-1$A $+1$B $<=10$

$1$A $+3$B $>=90$

A$,$ B $>=0$

Select the constraint represented by each constraint line $(1,2,$ or $3).$

Constraint $1=$

$5$A $+5$B $<=400$

Constraint $2=$

$-1$A $+1$B $<=10$

Constraint $3=$

$1$A $+3$B $>=90$

Select the correct graph that shows the optimal solution for the problem.

$($i$)($ii$)$

$($iii$)($iv$)$

Identify the optimal extreme point. What is the optimal solution?

Optimal solution is A $=$ fill in the blank $5$

$,$ B $=$ fill in the blank $6$

$,$ Max $=$ fill in the blank $7$