Solve the Linear Programming Problem $P = 9 x + 6 y$

Multiple Choice

Solve the linear programming problem. Maximize $P = 9 x + 6 y$ subject to $x + 3 y \leq 24$ $2 x + y \leq 18$ $3 x + y \leq 24$ $x \geq 0 , y \geq 0$

A) $x = 9$ , $y = 0$ , $P = 81$
B) $x = 8$ , $y = 8$ , $P = 72$
C) $x = 8$ , $y = 0$ , $P = 72$
D) $x = 6$ , $y = 6$ , $P = 90$
E) $x = 0$ , $y = 8$ , $P = 48$