Module $2$ Homework

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:

a$.(3$ points$)$ Shade in the feasible region on the graph. You can click "Draw" tab in the Word menu bar and paint the feasible region in the graph.

b$.(2$ points$)$ Identify the optimal extreme point. What is the optimal solution?

c$.(2$ points$)$ What is the objective function value generated by the optimal solution?