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 $1=$

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

Constraint $2=$

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

Constraint $3=$

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

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 $7$

Which constraints are binding?

Constraint $1=$

Binding

Constraint $2=$

Binding

Constraint $3=$

Binding

Explain.

The input in the box below will not be graded, but may be reviewed and considered by your instructor.

How much slack or surplus is associated with the nonbinding constraint?