Solve the Standard Minimization Problem Using Duality $c = 0.4 s + 0.6 t$

question 139

Multiple Choice

Solve the standard minimization problem using duality.
Minimize $c = 0.4 s + 0.6 t$
Subject to $$\begin{array} { l } 0.2 s + 0.1 t \geq 1 \\0.15 s + 0.3 t \geq 1.5 \\10 s + 10 t \geq 80 \\s \geq 0 , t \geq 0\end{array}$$

• A) \(c = 3.6\) , \(s = 6\) , \(t = 2\)
• B) \(c = 2.8\) , \(s = 6\) , \(t = 2\)
• C) \(c = 1.2\) , \(s = 6\) , \(t = 2\)
• D) \(c = 4.4\) , \(s = 2\) , \(t = 6\)
• E) \(c = 2.8\) , \(s = 2\) , \(t = 6\)

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Input Costs

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A variation in the cost of a good or service over time.

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