Solve the Standard Minimization Problem Using Duality $c = 4 s + 7 t + 9 u$

question 25

Multiple Choice

Solve the standard minimization problem using duality.
Minimize $c = 4 s + 7 t + 9 u$
Subject to $\begin{array} { l } s + 2 t + 2 u \geq 60 \\2 s + t + 3 u \geq 60 \\s \geq 0 , t \geq 0 , u \geq 0\end{array}$

• A) \(c = 140\) , \(s = 0\) , \(t = 20\) , \(u = 0\)
• B) \(c = 80\) , \(s = 20\) , \(t = 0\) , \(u = 0\)
• C) \(c = 220\) , \(s = 20\) , \(t = 20\) , \(u = 0\)
• D) \(c = 260\) , \(s = 20\) , \(t = 0\) , \(u = 20\)
• E) \(c = 320\) , \(s = 0\) , \(t = 20\) , \(u = 20\)

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