Solve the given linear programming problem using the table method. A table of basic solutions is provided to the right.

Maximize $P=26x_1+15x_2$

$2x_1+5x_{2}30$

$x_1+2x_{2}13$

$x_1,x_{2}0$

$\backslash$table$[[x_1,x_2,s_1,s_2,],[0,0,30,13,$Feasible$],[0,6,0,1,$Feasible$],[0,6\mathrm{.}5,-2\mathrm{.}5,0,$Not feasible$],[15,0,0,-2,$Not feasible$],[13,0,4,0,$Feasible$],[5,4,0,0,$Feasible$]]$

The maximum value of $P$ is $P=$ occuring at $x_1=($Type integers or fractions.$)$