Minimize $c = 50 x + 50 y + 11 z$

question 29

Multiple Choice

Minimize $c = 50 x + 50 y + 11 z$
Subject to
$$\begin{aligned}2 x + z & \geq 8 \\2 x + y - z & \geq 4 \\3 x + y - z & \leq 6 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$

• A) \(c = 399\) , \(x = 5\) , \(y = 1\) , \(z = 9\)
• B) \(c = 494\) , \(x = 5\) , \(y = 4\) , \(z = 4\)
• C) \(c = 161\) , \(x = 2\) , \(y = 1\) , \(z = 1\)
• D) \(c = 344\) , \(x = 2\) , \(y = 4\) , \(z = 4\)
• E) no solution

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