The following linear programming problem has $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$

Min $$ Z $=3$x$1+9$x$2$

Subject to:

$2$x$1+4$x$220$

$5$x$1+15$x$215$

$6$x$1+12$x$232$

x$25$

x$1,$ x$20$

$$

Please choose the option that would best fit the empty space above:

Group of answer choices

only one optimal solution

multiple optimal solutions

no solution, since it is infeasible

no best solution, since it is unbounded

None of the above