Maximize $p = 3 x + 5 y + z$ Subject To

question 133

Multiple Choice

Maximize $p = 3 x + 5 y + z$
Subject to
$$\begin{aligned}2 x - 6 y + 2 z & \leq 20 \\x + 3 y - 4 z & \leq 11 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$

• A) \(p = 116\) , \(x = 9\) , \(y = 14\) , \(z = 13\)
• B) \(p = 116\) , \(x = 13\) , \(y = 9\) , \(z = 14\)
• C) \(p = 116\) , \(x = 14\) , \(y = 9\) , \(z = 13\)
• D) \(p = 116\) , \(x = 14\) , \(y = 13\) , \(z = 9\)
• E) no solution

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