Solve the Standard Minimization Problem Using Duality A) $c = 800$

question 149

Multiple Choice

Solve the standard minimization problem using duality. $$\begin{array} { l } \text { Minimize } & { c = 8 s + 7 t + 8 u } \\&s + t + u \geq 100 \\&2 s + t \geq 50 \\\text { subject to } &t + u \geq 50 \\&s \geq 0 , t \geq 0 , u \geq 0 \\\end{array}$$

• A) \(c = 800\) , \(s = 100\) , \(t = 0\) , \(u = 0\)
• B) \(c = 800\) , \(s = 0\) , \(t = 0\) , \(u = 100\)
• C) \(c = 700\) , \(s = 0\) , \(t = 100\) , \(u = 0\)
• D) \(c = 350\) , \(s = 0\) , \(t = 50\) , \(u = 0\)
• E) \(c = 400\) , \(s = 50\) , \(t = 0\) , \(u = 0\)

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