Consider the following LP problem. max 2 = 2.5.61 + 612 s.t. 21 + 2x2 0 (a) (15 points) Solve this problem using the graphical method. (b) (10 points) Consider the graph you have drawn in part (a). One of the extreme points and its corresponding basic feasible solution (BFS) is given with the list of basic and non basic variables. Fill the table with the remaining extreme points (You can draw a similar table and fill it on paper). List each of the extreme points and the corresponding BFS, the nonbasic variables and the basic variables. Extreme Point Corresponding BFS (x1, 12) (21, 82, 81, 82) Nonbasic variables Basic variables (0,0) (0, 0, 30, 40) 21,22 $1,82