Solve the Standard Minimization Problem Using Duality $c = 0.7 s + 0.3 t$

question 146

Multiple Choice

Solve the standard minimization problem using duality.
Minimize $c = 0.7 s + 0.3 t$
Subject to $$\begin{array} { l } 30 s + 20 t \geq 600 \\0.1 s + 0.4 t \geq 4 \\0.2 s + 0.3 t \geq 4.5 \\s \geq 0 . t \geq 0\end{array}$$

• A) \(c = 9 , s = 30 , t = 0\)
• B) \(c = 21 , s = 0 , t = 30\)
• C) \(c = 30 , s = 30 , t = 30\)
• D) \(c = 9 , s = 0 , t = 30\)
• E) \(c = 21 , s = 30 , t = 0\)

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