1. Consider the following LP problem:

Minimize Cost = 9A + 12B

Subject to

3A + 6B 90

5A + 5B 100

4A -B 0

3B 9

A, B 0

1. [14 pts]Plot and label all the constraints and the feasible region.
2. [17 pts]Identify all corner points, the optimal solution, and the optimal value.