7. [-/1 Points]
DETAILS
TAMUBUSMATH 3.4.012. 0/6 Submissions Used
Solve the following linear programming problem, using the Simplex Method.
objective
maximize $P = 105x + 28y$
subject to
$3x - 12y \le 9$
$2x + 6y \le 18$
$x \ge 0, y \ge 0$
The maximum value of P is
and occurs at $(x, y) = (
8. [-/1 Points]
DETAILS
TAMUBUSMATH 3.4.013. 0/6 Submissions Used
State the corresponding corner point for the given simplex tableau.
$\begin{array}{|c|c|c|c|c|c|c|}
\hline
x & y & S_1 & S_2 & S_3 & P & \text{constant} \\
\hline
6 & 0.75 & 1 & 0 & 0 & 0 & 77 \\
\hline
3 & 7 & 0 & 1 & 0 & 0 & 19 \\
\hline
9 & 0.25 & 0 & 0 & 1 & 0 & 62 \\
\hline
-8 & -7 & 0 & 0 & 0 & 1 & 0 \\
\hline
\end{array}$
The corresponding corner point is $(x, y) = (