Question $8$

Consider the following linear programming problem:

Max $Z=120x_1+100x_2$

Subject $to$: $3x_1+4x_{2}8(constraint1)$

$10x_1+9x_{2}39(constraint2)$

$2x_1+3x_{2}23(constraint3)$

$4x_1+8x_{2}38(constraint4)$

$x_1,x_{2}0(non-$negativity constraints$)$

What is the slack or surplus associated with the constraint $4$ in the coordinate $(3,1)?$

$8$

$10$

$12$

$18$

None pof the above