Consider the linear program below and answer the following questions.

Max $2A+3B$

$s.t.$

$5A+5B400$

$-1A+1B10$

$1A+3B90$

$A,B0$

Constraint $1$

Constraint $2$

Constraint $3$

The following figure shows a graph $of$ the constraint lines.

Questions:

$a.$Shade $in$ the feasible region $on$ the graph.

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

$c.$What $is$ the objective function value generated $by$ the optimal solution?