Consider the following linear programming problem.

Maximize

$P=5x+6y$

subject to the constraints:

$x+3y12$

$-2x-3y-18$

$x$:$0,y0$

$($a$)$ Write the linear programming problem as a standard maximization problem.

Maximize $P=5x+6y$

subject $tox+3y+s1,12$

$-2x-3y+52,18$

$x0$

$y0$

$($b$)$ Write the initial simplex tableau.