Consider the following linear programming problem:

Min Z $=14$x$1+10$x$2$

Subject to: $$

$4$x$1+3$x$2200($constraint $1)$

$2$x$1+$ x$270($constraint $2)$

x$1,$ x$20$

What is the upper limit of the first coefficient of the objective function $($c$1)?$

Group of answer choices

$20$

$10$

$8$

$14$

None of the above