Consider the following linear program and answer the following questions.

Max $2$A $+3$B

s$.$t$.$

$5$A $+5$B $<=360$ Constraint $1$

$1$A $+1$B $<=10$ Constraint $2$

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

A$,$ B $>=0$

$($c$)$

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

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

Incorrect: Your answer is incorrect.

$($d$)$

Which constraints are binding? Explain.

The optimal solution occurs at the intersection of constraints

$1$ and $2$

Correct: Your answer is correct.

$,$ so these are the binding constraints.

$($e$)$

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

Constraint

$3$

Correct: Your answer is correct.

is the nonbinding constraint. There is a

surplus

Correct: Your answer is correct.

of

$90$

Incorrect: Your answer is incorrect.

associated with this constraint.