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

question 84

Multiple Choice

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) \(p = 100.35\) , \(x = 0\) , \(y = 28.5\) , \(z = 13.5\) , \(w = 0\)

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