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

question 115

Multiple Choice

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

• A) \(c = 400\) , \(x = 8\) , \(y = 0\) , \(z = 0\)
• B) \(c = 716\) , \(x = 8\) , \(y = 6\) , \(z = 5\)
• C) \(c = 88\) , \(x = 0\) , \(y = 0\) , \(z = 8\)
• D) \(c = 100\) , \(x = 2\) , \(y = 0\) , \(z = 0\)
• E) no solution

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