Minimize $c = 2 x + y + 3 z$ Subject To

question 135

Multiple Choice

Minimize $c = 2 x + y + 3 z$
Subject to
$$\begin{aligned}x + y + z & \geq 150 \\2 x + y & \geq 30 \\y + z & \geq 40 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$

• A) \(c = 450\) , \(x = 0\) , \(y = 0\) , \(z = 150\)
• B) \(c = 300\) , \(x = 150\) , \(y = 0\) , \(z = 0\)
• C) \(c = 150\) , \(x = 0\) , \(y = 150\) , \(z = 0\)
• D) \(c = 30\) , \(x = 0\) , \(y = 30\) , \(z = 0\)
• E) no solution

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