Question $4$:

$($a$)$ Solve the problem using the graphical method.

MaxZ$=2x_1+6x_2$

$s.t.2x_1+x_{2}8$

$-x_1-3x_2-12$

$,x_1,x_{2}0$

$($b$)$ Indicate which of the following statements best describes the solution:

$($A$)$ This linear program has a unique optimal solution

$($B$)$ This linear program has non unique solution

$($C$)$ This linear program is infeasible

$($D$)$ This linear program is unbounded

Solution: