Solve the given linear programming problem using the table method. The table of basic solutions is
provided.
Maximize $P = 15x_1 + 24x_2$
subject to $x_1 + x_2 \le 6$
$x_1 + 4x_2 \le 12$
$x_1, x_2 \ge 0$
Select the correct choice below and, if necessary, fill in the answer boxes within your choice.
A. The function is maximized when $x_1 = \boxed{\text{ }}, x_2 = \boxed{\text{ }}, s_1 = \boxed{\text{ }}, and
s_2 = \boxed{\text{ }}, where
$P = \boxed{\text{ }}.$
(Simplify your answers.)
B. The system has no solution
