Question: Consider the following linear programming problem:

Max 3A + 3B

s.t.

2A + 4B ≤ 12

6A + 4B ≤ 24

A,B ≥ 0

A.) Find the optimal solution using the graphical solution procedure

B.) If the objective function is changed to 2A + 6B, what will happen the optimal solution be?

C.) How many extreme points are there? What are the values of A and B at each extreme point?