Solve the given linear programming problem using the table method. The table of basic solutions is provided.

Maximize $P=13x_1+25x_2$

subject $to{x}_1+x_{2}6$

$,x_1+4x_{2}12$

$,x_1,x_{2}0$

Select the correct choice below and, if necessary, fill in the answer boxes within your choice.

A$.$ The function is maximized when $x_1=x_2=s_1=$ and $s_2=$ where $P=$

$($Simplify your answers.$)$

B$.$ The system has no solution.

$\backslash$table$[[x_1,x_2,s_1,s_2,$Feasible?$],[0,0,6,12,$Yes$],[0,6,0,-12,$No$],[0,3,3,0,$Yes$],[6,0,0,6,$Yes$],[12,0,-6,0,$No$],[4,2,0,0,$Yes$]]$