Use the simplex method to maximize $2 x + 9 y = p$ , subject to the following. $$\left\{ \begin{array} { c }
2 x + y \leq 16 \
x + 2 y \leq 8 \
x \geq 0 , y \geq 0
\end{array} \right\}$$
A) $p = 110$
B) $p = 144$
C) $p = 36$
D) $p = 120$
E) $p = 72$

Question

Use the simplex method to maximize $2 x + 9 y = p$ , subject to the following.   $$\left\{ \begin{array} { c } 
2 x + y \leq 16 \
x + 2 y \leq 8 \
x \geq 0 , y \geq 0
\end{array} \right\}$$  
A) $p = 110$
B) $p = 144$
C) $p = 36$
D) $p = 120$
E) $p = 72$

Quizplus · Accepted Answer

The correct answer is A because the maximum value of p is 110, which occurs when x = 4 and y = 6.

Use the Simplex Method to Maximize 2x+9y=p2 x + 9 y = p2x+9y=p

Use the Simplex Method to Maximize $2 x + 9 y = p$