Maximize $p = 2 x + 3 y + 1.1 z + 4 w$

Maximize $p = 2 x + 3 y + 1.1 z + 4 w$
Subject to
$$\begin{aligned}1.2 x + y + z + w & \leq 42 \\2.2 x + y - z - w & \geq 15 \\1.2 x + y + z + 1.2 w & \geq 11.5 \\x \geq 0 , y \geq 0 , z \geq 0 , w & \geq 0\end{aligned}$$
Round all answers to two decimal places.

A) $p = 111$ , $x = 28.5$ , $y = 0$ , $z = 0$ , $w = 13.5$
B) $p = 139.5$ , $x = 0$ , $y = 28.5$ , $z = 0$ , $w = 13.5$
C) $p = 154.5$ , $x = 0$ , $y = 13.5$ , $z = 0$ , $w = 28.5$
D) $p = 71.85$ , $x = 28.5$ , $y = 0$ , $z = 13.5$ , $w = 0$
E) $p = 100.35$ , $x = 0$ , $y = 28.5$ , $z = 13.5$ , $w = 0$

Correct Answer:

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