Consider the linear program below and answer the following

questions.

Max $2A+3B$

$s.t.$

$5A+5B400$

Constraint $1$

$-1A+1B10$

Constraint $2$

$1A+3B90$

Constraint $3$

$A,B0$

The following figure shows a graph of the constraint lines.

Questions:

Shade in the feasible region on the graph.

Identify the optimal extreme point. What is the optimal

solution?

Which constraints are binding? Explain.

What is the objective function value generated by the

optimal solution?