Minimize $c = 5 x + y + z + 2 w$

question 103

Multiple Choice

Minimize $c = 5 x + y + z + 2 w$
Subject to
$$\begin{aligned}5 x - y + w & \geq 1,000 \\z + w & \leq 2,000 \\x + y & \leq 500 \\x \geq 0 , y \geq 0 , z \geq 0 , w & \geq 0\end{aligned}$$

• A) \(c = 600\) , \(x = 0\) , \(y = 200\) , \(z = 200\) , \(w = 200\)
• B) \(c = 1,600\) , \(x = 200\) , \(y = 200\) , \(z = 200\) , \(w = 200\)
• C) \(c = 1,000\) , \(x = 200\) , \(y = 0\) , \(z = 0\) , \(w = 0\)
• D) \(c = 200\) , \(x = 0\) , \(y = 200\) , \(z = 0\) , \(w = 0\)
• E) no solution

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